The secretary, or the secretary's designee, upon application of the person responsible for payment of reimbursement to the state of the costs of hospitalization, and/or the costs of outpatient services, or the legal representative of such person, and, after investigation, or after investigation without application, the secretary, or the secretary's designee, if satisfied of the financial ability or inability of such person to reimburse the state in accordance with the original finding of responsibility, may, modify or vacate such original finding of responsibility and enter a new finding of responsibility. The determination to modify or vacate findings of responsibility shall be served and be appealable in the same manner and in accordance with the same procedures for appeals of original findings of responsibility.