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Finding the Fourth Proportional to 24,414.20, 33,689.76 and 16,467.20

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Solution

The fourth proportional to 24,414.20, 33,689.76 and 16,467.20 is: 22,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.20 : 33,689.76 = 16,467.20 : x
  2. Step 2: Convert to fraction form
    24,414.20/33,689.76 = 16,467.20/x
  3. Step 3: Cross multiply
    24,414.20x = 33,689.76 × 16,467.20
  4. Step 4: Simplify right side
    24,414.20x = 554,776,015.87
  5. Step 5: Solve for x
    x = 554,776,015.87/24,414.20
  6. Step 6: Final answer
    x = 22,723.50

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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.