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Finding the Fourth Proportional to 24,724.38, 34,119.12 and 14,113.78

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Solution

The fourth proportional to 24,724.38, 34,119.12 and 14,113.78 is: 19,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.38 : 34,119.12 = 14,113.78 : x
  2. Step 2: Convert to fraction form
    24,724.38/34,119.12 = 14,113.78/x
  3. Step 3: Cross multiply
    24,724.38x = 34,119.12 × 14,113.78
  4. Step 4: Simplify right side
    24,724.38x = 481,549,753.47
  5. Step 5: Solve for x
    x = 481,549,753.47/24,724.38
  6. Step 6: Final answer
    x = 19,476.72

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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.