What is the ruling on paying off the remaining loan to Al-Rajhi Bank from the same bank and taking out another loan?

If the settlement of the first debt is a condition for, and leads to, the second tawarruq, then it is impermissible. This is because it is considered a form of "debt for debt," which is forbidden by Sharia, and it is a trick to justify usury. It includes anything that leads to an increase in the debtor's debt in exchange for an extension of the term, or serves as a means to achieve it. However, if the new cash financing does not involve this prohibited meaning, and the client wishes to settle their first debt to avoid numerous installments, then there is no objection in that case.