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Finding the Fourth Proportional to 24,802.74, 34,227.42 and 13,472.39

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Solution

The fourth proportional to 24,802.74, 34,227.42 and 13,472.39 is: 18,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.74 : 34,227.42 = 13,472.39 : x
  2. Step 2: Convert to fraction form
    24,802.74/34,227.42 = 13,472.39/x
  3. Step 3: Cross multiply
    24,802.74x = 34,227.42 × 13,472.39
  4. Step 4: Simplify right side
    24,802.74x = 461,125,150.93
  5. Step 5: Solve for x
    x = 461,125,150.93/24,802.74
  6. Step 6: Final answer
    x = 18,591.70

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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.