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Finding the Fourth Proportional to 23,179.72, 34,781.28 and 9,149.80

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Solution

The fourth proportional to 23,179.72, 34,781.28 and 9,149.80 is: 13,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.72 : 34,781.28 = 9,149.80 : x
  2. Step 2: Convert to fraction form
    23,179.72/34,781.28 = 9,149.80/x
  3. Step 3: Cross multiply
    23,179.72x = 34,781.28 × 9,149.80
  4. Step 4: Simplify right side
    23,179.72x = 318,241,755.74
  5. Step 5: Solve for x
    x = 318,241,755.74/23,179.72
  6. Step 6: Final answer
    x = 13,729.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.