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Finding the Fourth Proportional to 23,402.14, 32,294.88 and 12,791.78

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Solution

The fourth proportional to 23,402.14, 32,294.88 and 12,791.78 is: 17,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.14 : 32,294.88 = 12,791.78 : x
  2. Step 2: Convert to fraction form
    23,402.14/32,294.88 = 12,791.78/x
  3. Step 3: Cross multiply
    23,402.14x = 32,294.88 × 12,791.78
  4. Step 4: Simplify right side
    23,402.14x = 413,109,000.09
  5. Step 5: Solve for x
    x = 413,109,000.09/23,402.14
  6. Step 6: Final answer
    x = 17,652.62

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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.