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Finding the Fourth Proportional to 12,136.91, 18,194.42 and 4,343.90

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Solution

The fourth proportional to 12,136.91, 18,194.42 and 4,343.90 is: 6,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.91 : 18,194.42 = 4,343.90 : x
  2. Step 2: Convert to fraction form
    12,136.91/18,194.42 = 4,343.90/x
  3. Step 3: Cross multiply
    12,136.91x = 18,194.42 × 4,343.90
  4. Step 4: Simplify right side
    12,136.91x = 79,034,660.93
  5. Step 5: Solve for x
    x = 79,034,660.93/12,136.91
  6. Step 6: Final answer
    x = 6,511.93

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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.