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Finding the Fourth Proportional to 16,102.73, 24,161.83 and 8,311.55

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Solution

The fourth proportional to 16,102.73, 24,161.83 and 8,311.55 is: 12,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.73 : 24,161.83 = 8,311.55 : x
  2. Step 2: Convert to fraction form
    16,102.73/24,161.83 = 8,311.55/x
  3. Step 3: Cross multiply
    16,102.73x = 24,161.83 × 8,311.55
  4. Step 4: Simplify right side
    16,102.73x = 200,822,116.55
  5. Step 5: Solve for x
    x = 200,822,116.55/16,102.73
  6. Step 6: Final answer
    x = 12,471.31

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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.