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Finding the Fourth Proportional to 16,151.23, 24,217.52 and 6,278.96

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Solution

The fourth proportional to 16,151.23, 24,217.52 and 6,278.96 is: 9,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.23 : 24,217.52 = 6,278.96 : x
  2. Step 2: Convert to fraction form
    16,151.23/24,217.52 = 6,278.96/x
  3. Step 3: Cross multiply
    16,151.23x = 24,217.52 × 6,278.96
  4. Step 4: Simplify right side
    16,151.23x = 152,060,868.53
  5. Step 5: Solve for x
    x = 152,060,868.53/16,151.23
  6. Step 6: Final answer
    x = 9,414.82

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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.