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Finding the Fourth Proportional to 20,136.65, 27,791.13 and 12,178.92

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Solution

The fourth proportional to 20,136.65, 27,791.13 and 12,178.92 is: 16,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.65 : 27,791.13 = 12,178.92 : x
  2. Step 2: Convert to fraction form
    20,136.65/27,791.13 = 12,178.92/x
  3. Step 3: Cross multiply
    20,136.65x = 27,791.13 × 12,178.92
  4. Step 4: Simplify right side
    20,136.65x = 338,465,948.98
  5. Step 5: Solve for x
    x = 338,465,948.98/20,136.65
  6. Step 6: Final answer
    x = 16,808.46

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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.