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Finding the Fourth Proportional to 12,022.80, 18,034.20 and 3,257.71

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Solution

The fourth proportional to 12,022.80, 18,034.20 and 3,257.71 is: 4,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.80 : 18,034.20 = 3,257.71 : x
  2. Step 2: Convert to fraction form
    12,022.80/18,034.20 = 3,257.71/x
  3. Step 3: Cross multiply
    12,022.80x = 18,034.20 × 3,257.71
  4. Step 4: Simplify right side
    12,022.80x = 58,750,193.68
  5. Step 5: Solve for x
    x = 58,750,193.68/12,022.80
  6. Step 6: Final answer
    x = 4,886.57

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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.