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Finding the Fourth Proportional to 24,724.28, 34,120.38 and 13,546.28

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Solution

The fourth proportional to 24,724.28, 34,120.38 and 13,546.28 is: 18,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.28 : 34,120.38 = 13,546.28 : x
  2. Step 2: Convert to fraction form
    24,724.28/34,120.38 = 13,546.28/x
  3. Step 3: Cross multiply
    24,724.28x = 34,120.38 × 13,546.28
  4. Step 4: Simplify right side
    24,724.28x = 462,204,221.19
  5. Step 5: Solve for x
    x = 462,204,221.19/24,724.28
  6. Step 6: Final answer
    x = 18,694.35

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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.