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Finding the Fourth Proportional to 24,812.38, 34,241.08 and 13,634.38

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Solution

The fourth proportional to 24,812.38, 34,241.08 and 13,634.38 is: 18,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.38 : 34,241.08 = 13,634.38 : x
  2. Step 2: Convert to fraction form
    24,812.38/34,241.08 = 13,634.38/x
  3. Step 3: Cross multiply
    24,812.38x = 34,241.08 × 13,634.38
  4. Step 4: Simplify right side
    24,812.38x = 466,855,725.13
  5. Step 5: Solve for x
    x = 466,855,725.13/24,812.38
  6. Step 6: Final answer
    x = 18,815.44

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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.