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Finding the Fourth Proportional to 24,472.50, 33,772.08 and 13,294.50

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Solution

The fourth proportional to 24,472.50, 33,772.08 and 13,294.50 is: 18,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.50 : 33,772.08 = 13,294.50 : x
  2. Step 2: Convert to fraction form
    24,472.50/33,772.08 = 13,294.50/x
  3. Step 3: Cross multiply
    24,472.50x = 33,772.08 × 13,294.50
  4. Step 4: Simplify right side
    24,472.50x = 448,982,917.56
  5. Step 5: Solve for x
    x = 448,982,917.56/24,472.50
  6. Step 6: Final answer
    x = 18,346.43

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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.