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Finding the Fourth Proportional to 22,712.13, 34,079.13 and 9,562.86

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Solution

The fourth proportional to 22,712.13, 34,079.13 and 9,562.86 is: 14,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.13 : 34,079.13 = 9,562.86 : x
  2. Step 2: Convert to fraction form
    22,712.13/34,079.13 = 9,562.86/x
  3. Step 3: Cross multiply
    22,712.13x = 34,079.13 × 9,562.86
  4. Step 4: Simplify right side
    22,712.13x = 325,893,949.11
  5. Step 5: Solve for x
    x = 325,893,949.11/22,712.13
  6. Step 6: Final answer
    x = 14,348.89

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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.