The plastic part connected to the back of the slider
A handy person from Mt. Aukum, CA says:
January 30, 2014
It's a wood slider, but need the ending to hold the drawer onto the slider attached to the dresser.
Tom from SWISCO responded:
January 31, 2014
Thank you for posting. This closely resembles our 32-112. Check it out and let me know if you agree. If they don't match, please upload a few pictures of an undamaged guide. Thanks!