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Finding the Fourth Proportional to 13,405.92, 18,500.67 and 8,099.71

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Solution

The fourth proportional to 13,405.92, 18,500.67 and 8,099.71 is: 11,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.92 : 18,500.67 = 8,099.71 : x
  2. Step 2: Convert to fraction form
    13,405.92/18,500.67 = 8,099.71/x
  3. Step 3: Cross multiply
    13,405.92x = 18,500.67 × 8,099.71
  4. Step 4: Simplify right side
    13,405.92x = 149,850,061.81
  5. Step 5: Solve for x
    x = 149,850,061.81/13,405.92
  6. Step 6: Final answer
    x = 11,177.90

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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.