Short Answer
To find the unknown number where three-fourths equals 17, we set up the equation (3/4) * x = 17. By isolating x, we calculate x = 17 * (4/3), resulting in an approximate value of 22.67.
a) Find the Unknown Number
To start, we need to understand that we are looking for a number where three-fourths equals 17. This can be expressed as an equation where we represent the unknown with x, leading us to the equation: (3/4) * x = 17.
b) Set Up the Equation
Next, we will rearrange the equation to isolate x. We achieve this by multiplying both sides by the reciprocal of (3/4), which is (4/3). This will yield the equation: x = 17 * (4/3).
c) Calculate the Final Value
Finally, we perform the calculation to find x. When we multiply 17 by (4/3), we get approximately 22.67. Thus, the unknown number is approximately 22.67.