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Finding the Fourth Proportional to 22,761.72, 34,111.17 and 11,644.74

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Solution

The fourth proportional to 22,761.72, 34,111.17 and 11,644.74 is: 17,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.72 : 34,111.17 = 11,644.74 : x
  2. Step 2: Convert to fraction form
    22,761.72/34,111.17 = 11,644.74/x
  3. Step 3: Cross multiply
    22,761.72x = 34,111.17 × 11,644.74
  4. Step 4: Simplify right side
    22,761.72x = 397,215,705.75
  5. Step 5: Solve for x
    x = 397,215,705.75/22,761.72
  6. Step 6: Final answer
    x = 17,451.04

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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.