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Finding the Fourth Proportional to 24,930.92, 34,390.19 and 16,434.38

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Solution

The fourth proportional to 24,930.92, 34,390.19 and 16,434.38 is: 22,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930.92 : 34,390.19 = 16,434.38 : x
  2. Step 2: Convert to fraction form
    24,930.92/34,390.19 = 16,434.38/x
  3. Step 3: Cross multiply
    24,930.92x = 34,390.19 × 16,434.38
  4. Step 4: Simplify right side
    24,930.92x = 565,181,450.73
  5. Step 5: Solve for x
    x = 565,181,450.73/24,930.92
  6. Step 6: Final answer
    x = 22,669.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.