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Finding the Fourth Proportional to 24,691.38, 34,074.50 and 13,936.81

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Solution

The fourth proportional to 24,691.38, 34,074.50 and 13,936.81 is: 19,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.38 : 34,074.50 = 13,936.81 : x
  2. Step 2: Convert to fraction form
    24,691.38/34,074.50 = 13,936.81/x
  3. Step 3: Cross multiply
    24,691.38x = 34,074.50 × 13,936.81
  4. Step 4: Simplify right side
    24,691.38x = 474,889,780.56
  5. Step 5: Solve for x
    x = 474,889,780.56/24,691.38
  6. Step 6: Final answer
    x = 19,233.02

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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.