The singer was part of Team Kelly back in Season 20.
The track is the band's sole Billboard Hot 100 No. 1.
The track earned the British star her third consecutive No. 1 hit off 2011's 21.
Yarbrough's most famous track was sampled in Fatboy Slim's 1999 crossover hit "Praise You."
The anthem topped Billboard's Dance Club Songs chart for two weeks in 1991.
Written by Swift, "Better Man" was originally released by Little Big Town.
The track -- which tells the story of an on-off couple who simply can't stay away from each other -- peaked at No. 28 on the Hot 100.
The singer veers back into pop after performing multiple rock songs earlier in the week.
The Kelly Clarkson Show host had not one, but two pianists accompany her for the performance.
"Ordinary World" is from the band's 1993 self-titled album.