Mike has a variety of limited-edition fragrances. He has as many bottles of floral fragrances as citrus fragrances. The number of bottles of spicy fragrances and floral fragrances add up to 15. The number of bottles of oceanic fragrances is 15 more than the number of bottles of floral fragrances. Mike knows that there at least 11,664 possible combinations in which these fragrances can be sold. Identify the values for the number of bottles of floral fragrances Mike could have.