Conditional formatting searching a list within another list

Hi, thanks for helping!

I have two columns that contain three lists. My objective is to use conditional formatting to highlight cells in Column A if they are also listed in Column D. I figured that out by using a conditional formatting formula:

=VLOOKUP($A1,$D$1:$D$22,1,0)=$A1

The complication occurs when the individuals cells in Column A will sometimes have *more* alpha-numeric characters than their Column D counterparts. I still need the cells in Column A to highlight.

For example, D4 shows FA666610F8009. I need it to identify duplicates in A3, which shows FA666610F8009, and A5, which shows FA666610F8009RS56.

I have tried diligently to find the right formulaic variation, but I have failed. The below linked excel file is as far as I could get on my own.

Any help would be appreciated.

Thank you!