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Finding the Fourth Proportional to 18,136.98, 27,200.18 and 7,606.71

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Solution

The fourth proportional to 18,136.98, 27,200.18 and 7,606.71 is: 11,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.98 : 27,200.18 = 7,606.71 : x
  2. Step 2: Convert to fraction form
    18,136.98/27,200.18 = 7,606.71/x
  3. Step 3: Cross multiply
    18,136.98x = 27,200.18 × 7,606.71
  4. Step 4: Simplify right side
    18,136.98x = 206,903,900.22
  5. Step 5: Solve for x
    x = 206,903,900.22/18,136.98
  6. Step 6: Final answer
    x = 11,407.85

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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.