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Finding the Fourth Proportional to 22,552.82, 31,129.14 and 13,123.20

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Solution

The fourth proportional to 22,552.82, 31,129.14 and 13,123.20 is: 18,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.82 : 31,129.14 = 13,123.20 : x
  2. Step 2: Convert to fraction form
    22,552.82/31,129.14 = 13,123.20/x
  3. Step 3: Cross multiply
    22,552.82x = 31,129.14 × 13,123.20
  4. Step 4: Simplify right side
    22,552.82x = 408,513,930.05
  5. Step 5: Solve for x
    x = 408,513,930.05/22,552.82
  6. Step 6: Final answer
    x = 18,113.66

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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.