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Finding the Fourth Proportional to 12,136.47, 18,204.71 and 3,817.22

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Solution

The fourth proportional to 12,136.47, 18,204.71 and 3,817.22 is: 5,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.47 : 18,204.71 = 3,817.22 : x
  2. Step 2: Convert to fraction form
    12,136.47/18,204.71 = 3,817.22/x
  3. Step 3: Cross multiply
    12,136.47x = 18,204.71 × 3,817.22
  4. Step 4: Simplify right side
    12,136.47x = 69,491,273.00
  5. Step 5: Solve for x
    x = 69,491,273.00/12,136.47
  6. Step 6: Final answer
    x = 5,725.82

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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.