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Finding the Fourth Proportional to 17,532.96, 24,195.18 and 9,575.28

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Solution

The fourth proportional to 17,532.96, 24,195.18 and 9,575.28 is: 13,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.96 : 24,195.18 = 9,575.28 : x
  2. Step 2: Convert to fraction form
    17,532.96/24,195.18 = 9,575.28/x
  3. Step 3: Cross multiply
    17,532.96x = 24,195.18 × 9,575.28
  4. Step 4: Simplify right side
    17,532.96x = 231,675,623.15
  5. Step 5: Solve for x
    x = 231,675,623.15/17,532.96
  6. Step 6: Final answer
    x = 13,213.72

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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.