Can I use a personal loan to buy a 4-unit in Arizona?

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My brothers and I have purchased a few properties in Arizona and I am looking to make another move. My realtor contacted me about a 4-unit property out there that I am very interested in. My money is tied up in other investments and I would need to take out a personal loan for a majority of the down payment. Would this be possible or how can I go about doing this? The income from the property would more than cover the monthly loan payment, mortgage, insurance, and management.