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Finding the Fourth Proportional to 17,931.60, 24,743.70 and 9,972.54

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Solution

The fourth proportional to 17,931.60, 24,743.70 and 9,972.54 is: 13,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.60 : 24,743.70 = 9,972.54 : x
  2. Step 2: Convert to fraction form
    17,931.60/24,743.70 = 9,972.54/x
  3. Step 3: Cross multiply
    17,931.60x = 24,743.70 × 9,972.54
  4. Step 4: Simplify right side
    17,931.60x = 246,757,538.00
  5. Step 5: Solve for x
    x = 246,757,538.00/17,931.60
  6. Step 6: Final answer
    x = 13,761.04

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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.