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Finding the Fourth Proportional to 12,136.11, 16,744.23 and 7,357.92

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Solution

The fourth proportional to 12,136.11, 16,744.23 and 7,357.92 is: 10,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.11 : 16,744.23 = 7,357.92 : x
  2. Step 2: Convert to fraction form
    12,136.11/16,744.23 = 7,357.92/x
  3. Step 3: Cross multiply
    12,136.11x = 16,744.23 × 7,357.92
  4. Step 4: Simplify right side
    12,136.11x = 123,202,704.80
  5. Step 5: Solve for x
    x = 123,202,704.80/12,136.11
  6. Step 6: Final answer
    x = 10,151.75

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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.