Analysis alone doesn't get funded. To act on a rationalisation you need a business case that puts a number on every recommendation — and that's what turns an architecture exercise into a board decision.

The single most important move is to attach cost to the analysis. Cost by TIME quadrant instantly shows how much you're spending to Tolerate and Eliminate — spend that delivers little value.
Not every benefit is a pound saved. Retiring unsupported, insecure or fragile applications reduces operational and security risk — a benefit leadership takes seriously even when it's hard to price.
Sequence the moves into a roadmap with clear phases, owners and expected savings per phase. A credible plan with numbers behind it is far more likely to be approved than a list of recommendations.
The Applications Assessment & Rationalisation Toolkit quantifies cost by quadrant and consolidation savings, and includes an executive report and deck built for the boardroom.