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Finding the Fourth Proportional to 18,136.09, 27,187.72 and 6,446.57

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Solution

The fourth proportional to 18,136.09, 27,187.72 and 6,446.57 is: 9,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.09 : 27,187.72 = 6,446.57 : x
  2. Step 2: Convert to fraction form
    18,136.09/27,187.72 = 6,446.57/x
  3. Step 3: Cross multiply
    18,136.09x = 27,187.72 × 6,446.57
  4. Step 4: Simplify right side
    18,136.09x = 175,267,591.97
  5. Step 5: Solve for x
    x = 175,267,591.97/18,136.09
  6. Step 6: Final answer
    x = 9,664.02

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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.