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Finding the Fourth Proportional to 20,136.11, 30,198 and 9,600.58

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Solution

The fourth proportional to 20,136.11, 30,198 and 9,600.58 is: 14,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.11 : 30,198 = 9,600.58 : x
  2. Step 2: Convert to fraction form
    20,136.11/30,198 = 9,600.58/x
  3. Step 3: Cross multiply
    20,136.11x = 30,198 × 9,600.58
  4. Step 4: Simplify right side
    20,136.11x = 289,918,163.85
  5. Step 5: Solve for x
    x = 289,918,163.85/20,136.11
  6. Step 6: Final answer
    x = 14,397.92

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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.