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Finding the Fourth Proportional to 22,711.89, 31,342.19 and 12,640.16

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Solution

The fourth proportional to 22,711.89, 31,342.19 and 12,640.16 is: 17,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.89 : 31,342.19 = 12,640.16 : x
  2. Step 2: Convert to fraction form
    22,711.89/31,342.19 = 12,640.16/x
  3. Step 3: Cross multiply
    22,711.89x = 31,342.19 × 12,640.16
  4. Step 4: Simplify right side
    22,711.89x = 396,170,233.15
  5. Step 5: Solve for x
    x = 396,170,233.15/22,711.89
  6. Step 6: Final answer
    x = 17,443.30

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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.