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Finding the Fourth Proportional to 13,398.37, 20,099.17 and 7,164.61

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Solution

The fourth proportional to 13,398.37, 20,099.17 and 7,164.61 is: 10,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.37 : 20,099.17 = 7,164.61 : x
  2. Step 2: Convert to fraction form
    13,398.37/20,099.17 = 7,164.61/x
  3. Step 3: Cross multiply
    13,398.37x = 20,099.17 × 7,164.61
  4. Step 4: Simplify right side
    13,398.37x = 144,002,673.08
  5. Step 5: Solve for x
    x = 144,002,673.08/13,398.37
  6. Step 6: Final answer
    x = 10,747.78

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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.