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Finding the Fourth Proportional to 22,711.90, 31,342.18 and 12,640.16

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Solution

The fourth proportional to 22,711.90, 31,342.18 and 12,640.16 is: 17,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.90 : 31,342.18 = 12,640.16 : x
  2. Step 2: Convert to fraction form
    22,711.90/31,342.18 = 12,640.16/x
  3. Step 3: Cross multiply
    22,711.90x = 31,342.18 × 12,640.16
  4. Step 4: Simplify right side
    22,711.90x = 396,170,169.95
  5. Step 5: Solve for x
    x = 396,170,169.95/22,711.90
  6. Step 6: Final answer
    x = 17,443.29

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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.