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Finding the Fourth Proportional to 16,049.68, 22,148.24 and 8,976.80

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Solution

The fourth proportional to 16,049.68, 22,148.24 and 8,976.80 is: 12,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.68 : 22,148.24 = 8,976.80 : x
  2. Step 2: Convert to fraction form
    16,049.68/22,148.24 = 8,976.80/x
  3. Step 3: Cross multiply
    16,049.68x = 22,148.24 × 8,976.80
  4. Step 4: Simplify right side
    16,049.68x = 198,820,320.83
  5. Step 5: Solve for x
    x = 198,820,320.83/16,049.68
  6. Step 6: Final answer
    x = 12,387.81

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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.