We are told that the ratio of male students to female students is 3:4. If there are 18 male students, then the number of female students must follow the same ratio. That is:
![(3)/(4)=(18)/(x)](https://img.qammunity.org/2023/formulas/mathematics/college/kpl575ciygt8kjly9hq2dhmdzlva6gq8t1.png)
Where "x" is the number of female students. To determine "x" we multiply both sides by "x", we get:
![(3x)/(4)=18](https://img.qammunity.org/2023/formulas/mathematics/college/qt88f8tlu65cg721dvlzjg4igt9up0ls2z.png)
Now we multiply both sides by 4/3, we get:
![x=18*(4)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/fm3qybzcal7zzwahlo2tsjeyyrj0hr0iu8.png)
Solving the operations we get:
![x=(72)/(3)=24](https://img.qammunity.org/2023/formulas/mathematics/college/o19y19tv2j5d28rb3879td8etzk56to3b5.png)
Therefore, there are 24 female students.