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Finding the Fourth Proportional to 22,099.92, 30,494.28 and 13,147.14

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Solution

The fourth proportional to 22,099.92, 30,494.28 and 13,147.14 is: 18,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.92 : 30,494.28 = 13,147.14 : x
  2. Step 2: Convert to fraction form
    22,099.92/30,494.28 = 13,147.14/x
  3. Step 3: Cross multiply
    22,099.92x = 30,494.28 × 13,147.14
  4. Step 4: Simplify right side
    22,099.92x = 400,912,568.36
  5. Step 5: Solve for x
    x = 400,912,568.36/22,099.92
  6. Step 6: Final answer
    x = 18,140.91

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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.