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Finding the Fourth Proportional to 24,251.68, 33,468.69 and 16,171.39

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Solution

The fourth proportional to 24,251.68, 33,468.69 and 16,171.39 is: 22,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.68 : 33,468.69 = 16,171.39 : x
  2. Step 2: Convert to fraction form
    24,251.68/33,468.69 = 16,171.39/x
  3. Step 3: Cross multiply
    24,251.68x = 33,468.69 × 16,171.39
  4. Step 4: Simplify right side
    24,251.68x = 541,235,238.78
  5. Step 5: Solve for x
    x = 541,235,238.78/24,251.68
  6. Step 6: Final answer
    x = 22,317.43

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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.