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Finding the Fourth Proportional to 16,104.18, 24,138.53 and 12,142.73

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Solution

The fourth proportional to 16,104.18, 24,138.53 and 12,142.73 is: 18,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.18 : 24,138.53 = 12,142.73 : x
  2. Step 2: Convert to fraction form
    16,104.18/24,138.53 = 12,142.73/x
  3. Step 3: Cross multiply
    16,104.18x = 24,138.53 × 12,142.73
  4. Step 4: Simplify right side
    16,104.18x = 293,107,470.98
  5. Step 5: Solve for x
    x = 293,107,470.98/16,104.18
  6. Step 6: Final answer
    x = 18,200.71

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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.