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Finding the Fourth Proportional to 16,120.80, 24,194.53 and 8,229.15

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Solution

The fourth proportional to 16,120.80, 24,194.53 and 8,229.15 is: 12,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.80 : 24,194.53 = 8,229.15 : x
  2. Step 2: Convert to fraction form
    16,120.80/24,194.53 = 8,229.15/x
  3. Step 3: Cross multiply
    16,120.80x = 24,194.53 × 8,229.15
  4. Step 4: Simplify right side
    16,120.80x = 199,100,254.43
  5. Step 5: Solve for x
    x = 199,100,254.43/16,120.80
  6. Step 6: Final answer
    x = 12,350.52

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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.