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Finding the Fourth Proportional to 16,229.97, 24,342.84 and 5,137.79

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Solution

The fourth proportional to 16,229.97, 24,342.84 and 5,137.79 is: 7,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.97 : 24,342.84 = 5,137.79 : x
  2. Step 2: Convert to fraction form
    16,229.97/24,342.84 = 5,137.79/x
  3. Step 3: Cross multiply
    16,229.97x = 24,342.84 × 5,137.79
  4. Step 4: Simplify right side
    16,229.97x = 125,068,278.21
  5. Step 5: Solve for x
    x = 125,068,278.21/16,229.97
  6. Step 6: Final answer
    x = 7,706.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.