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Finding the Fourth Proportional to 23,553.12, 32,494 and 13,476.16

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Solution

The fourth proportional to 23,553.12, 32,494 and 13,476.16 is: 18,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553.12 : 32,494 = 13,476.16 : x
  2. Step 2: Convert to fraction form
    23,553.12/32,494 = 13,476.16/x
  3. Step 3: Cross multiply
    23,553.12x = 32,494 × 13,476.16
  4. Step 4: Simplify right side
    23,553.12x = 437,894,343.04
  5. Step 5: Solve for x
    x = 437,894,343.04/23,553.12
  6. Step 6: Final answer
    x = 18,591.78

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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.