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Finding the Fourth Proportional to 22,634.26, 31,234.67 and 12,562.18

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Solution

The fourth proportional to 22,634.26, 31,234.67 and 12,562.18 is: 17,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.26 : 31,234.67 = 12,562.18 : x
  2. Step 2: Convert to fraction form
    22,634.26/31,234.67 = 12,562.18/x
  3. Step 3: Cross multiply
    22,634.26x = 31,234.67 × 12,562.18
  4. Step 4: Simplify right side
    22,634.26x = 392,375,390.61
  5. Step 5: Solve for x
    x = 392,375,390.61/22,634.26
  6. Step 6: Final answer
    x = 17,335.47

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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.