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Finding the Fourth Proportional to 24,415.20, 33,691.14 and 16,468.20

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Solution

The fourth proportional to 24,415.20, 33,691.14 and 16,468.20 is: 22,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.20 : 33,691.14 = 16,468.20 : x
  2. Step 2: Convert to fraction form
    24,415.20/33,691.14 = 16,468.20/x
  3. Step 3: Cross multiply
    24,415.20x = 33,691.14 × 16,468.20
  4. Step 4: Simplify right side
    24,415.20x = 554,832,431.75
  5. Step 5: Solve for x
    x = 554,832,431.75/24,415.20
  6. Step 6: Final answer
    x = 22,724.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.