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Finding the Fourth Proportional to 16,329.52, 24,498.06 and 5,941

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Solution

The fourth proportional to 16,329.52, 24,498.06 and 5,941 is: 8,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.52 : 24,498.06 = 5,941 : x
  2. Step 2: Convert to fraction form
    16,329.52/24,498.06 = 5,941/x
  3. Step 3: Cross multiply
    16,329.52x = 24,498.06 × 5,941
  4. Step 4: Simplify right side
    16,329.52x = 145,542,974.46
  5. Step 5: Solve for x
    x = 145,542,974.46/16,329.52
  6. Step 6: Final answer
    x = 8,912.88

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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.