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Finding the Fourth Proportional to 12,099.28, 18,149.10 and 3,778.96

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Solution

The fourth proportional to 12,099.28, 18,149.10 and 3,778.96 is: 5,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.28 : 18,149.10 = 3,778.96 : x
  2. Step 2: Convert to fraction form
    12,099.28/18,149.10 = 3,778.96/x
  3. Step 3: Cross multiply
    12,099.28x = 18,149.10 × 3,778.96
  4. Step 4: Simplify right side
    12,099.28x = 68,584,722.94
  5. Step 5: Solve for x
    x = 68,584,722.94/12,099.28
  6. Step 6: Final answer
    x = 5,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.