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Finding the Fourth Proportional to 12,022.92, 18,034.74 and 6,757.56

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Solution

The fourth proportional to 12,022.92, 18,034.74 and 6,757.56 is: 10,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.92 : 18,034.74 = 6,757.56 : x
  2. Step 2: Convert to fraction form
    12,022.92/18,034.74 = 6,757.56/x
  3. Step 3: Cross multiply
    12,022.92x = 18,034.74 × 6,757.56
  4. Step 4: Simplify right side
    12,022.92x = 121,870,837.63
  5. Step 5: Solve for x
    x = 121,870,837.63/12,022.92
  6. Step 6: Final answer
    x = 10,136.54

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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.