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Finding the Fourth Proportional to 24,539.78, 33,865.17 and 13,361.78

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Solution

The fourth proportional to 24,539.78, 33,865.17 and 13,361.78 is: 18,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.78 : 33,865.17 = 13,361.78 : x
  2. Step 2: Convert to fraction form
    24,539.78/33,865.17 = 13,361.78/x
  3. Step 3: Cross multiply
    24,539.78x = 33,865.17 × 13,361.78
  4. Step 4: Simplify right side
    24,539.78x = 452,498,951.20
  5. Step 5: Solve for x
    x = 452,498,951.20/24,539.78
  6. Step 6: Final answer
    x = 18,439.41

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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.