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Finding the Fourth Proportional to 22,702.87, 31,344.60 and 14,640.13

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Solution

The fourth proportional to 22,702.87, 31,344.60 and 14,640.13 is: 20,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.87 : 31,344.60 = 14,640.13 : x
  2. Step 2: Convert to fraction form
    22,702.87/31,344.60 = 14,640.13/x
  3. Step 3: Cross multiply
    22,702.87x = 31,344.60 × 14,640.13
  4. Step 4: Simplify right side
    22,702.87x = 458,889,018.80
  5. Step 5: Solve for x
    x = 458,889,018.80/22,702.87
  6. Step 6: Final answer
    x = 20,212.82

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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.