Replacement window channel balance

A quick learner from Florida says:
March 21, 2019
The pulleys in my tilt vinyl windows are broken. I need to replace the channel balances but want to make sure that I get the right part. 5/8"depth 9/16" width. Length is just shy of 20.5". Can you help me find the right part?
I don't know the brand of the windows, these were installed some years before we bought the house. Thank you
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Paul from SWISCO responded:
March 25, 2019

Many thanks for writing in. Hm, your tilt balance with a stamp option of 2050 looks like someone cut it down to 20.5". Do you have a similar size window to see what length they used in that window and the stamped number on the channel?
A quick learner from Florida says:
March 25, 2019
Hi Paul, there is a matching window that had an intact balance. It is also stamped 2050 and it has the same dimensions. It appears that there is a space in the window jamb that could accommodate about 1/2 to 1 additional inch of length.
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Paul from SWISCO responded:
March 26, 2019

OK, thank you for clarifying. I also would like to confirm the identity of the pivot shoe that your balance connects to in the track. Does it resemble our 15-208? Just let us know, thanks.
A quick learner from Florida says:
March 27, 2019
Hi Paul, yes the shoe looks exactly like that.
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Paul from SWISCO responded:
March 28, 2019

Thank you for this information. It appears you will need a custom 21" Series 770 with a 62-105 Hook attached to the cord, and a rivet installed at the top of the balance channel. This balance will have a stamp option of 21E to accommodate a window sash in the weight range of 22 through 26 lbs. We will get this order set up for you; how many balances do you require? 
Heavy Duty Pointed Hook
Heavy Duty Pointed Hook
62-105
$0.74
Pivot Lock Shoe, 9/16" Thick
Pivot Lock Shoe, 9/16" Thick
15-208
$3.57
21" Series 770 Balance
21" Series 770 Balance
S770-21
$12.27
Installation Bushing
Installation Bushing
67-004
$0.19
How to remove window pivot shoes
How to remove window pivot shoes
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Anatomy of a tilt window
Anatomy of a tilt window
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How to replace a tilt-window channel balance.
How to replace a tilt-window channel balance.
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Classifying Channel Balance Fittings
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