This is the 14009th most frequent German word.
gefördertem
"Promoted" or "supported."
Here, 'gefördertem' is used as a participle adjective to describe 'Kapital', indicating that the capital received promotion or support.
Das Projekt wurde mit gefördertem Kapital gestartet.
The project was started with subsidized capital.
In this sentence, 'gefördertem' modifies 'Wohnraum', explaining that the housing is subsidized or supported in some manner.
Gefördertem Wohnraum wird bei Bedarf Vorrang gegeben.
Subsidized housing is given priority when needed.
Here, 'gefördertem' describes 'Unterricht', meaning the teaching is supported or promoted, perhaps by government funding or another body.