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Finding the Fourth Proportional to 24,938.38, 34,414.96 and 13,760.38

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Solution

The fourth proportional to 24,938.38, 34,414.96 and 13,760.38 is: 18,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.38 : 34,414.96 = 13,760.38 : x
  2. Step 2: Convert to fraction form
    24,938.38/34,414.96 = 13,760.38/x
  3. Step 3: Cross multiply
    24,938.38x = 34,414.96 × 13,760.38
  4. Step 4: Simplify right side
    24,938.38x = 473,562,927.28
  5. Step 5: Solve for x
    x = 473,562,927.28/24,938.38
  6. Step 6: Final answer
    x = 18,989.32

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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.