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Finding the Fourth Proportional to 22,495.54, 31,052.13 and 13,543.46

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Solution

The fourth proportional to 22,495.54, 31,052.13 and 13,543.46 is: 18,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.54 : 31,052.13 = 13,543.46 : x
  2. Step 2: Convert to fraction form
    22,495.54/31,052.13 = 13,543.46/x
  3. Step 3: Cross multiply
    22,495.54x = 31,052.13 × 13,543.46
  4. Step 4: Simplify right side
    22,495.54x = 420,553,280.57
  5. Step 5: Solve for x
    x = 420,553,280.57/22,495.54
  6. Step 6: Final answer
    x = 18,694.96

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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.