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Finding the Fourth Proportional to 22,414.73, 30,932.42 and 13,462.39

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Solution

The fourth proportional to 22,414.73, 30,932.42 and 13,462.39 is: 18,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.73 : 30,932.42 = 13,462.39 : x
  2. Step 2: Convert to fraction form
    22,414.73/30,932.42 = 13,462.39/x
  3. Step 3: Cross multiply
    22,414.73x = 30,932.42 × 13,462.39
  4. Step 4: Simplify right side
    22,414.73x = 416,424,079.71
  5. Step 5: Solve for x
    x = 416,424,079.71/22,414.73
  6. Step 6: Final answer
    x = 18,578.14

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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.