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Finding the Fourth Proportional to 17,525.65, 24,185.97 and 9,568.30

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Solution

The fourth proportional to 17,525.65, 24,185.97 and 9,568.30 is: 13,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,525.65 : 24,185.97 = 9,568.30 : x
  2. Step 2: Convert to fraction form
    17,525.65/24,185.97 = 9,568.30/x
  3. Step 3: Cross multiply
    17,525.65x = 24,185.97 × 9,568.30
  4. Step 4: Simplify right side
    17,525.65x = 231,418,616.75
  5. Step 5: Solve for x
    x = 231,418,616.75/17,525.65
  6. Step 6: Final answer
    x = 13,204.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.