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Finding the Fourth Proportional to 12,414.20, 18,572.70 and 8,040.20

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Solution

The fourth proportional to 12,414.20, 18,572.70 and 8,040.20 is: 12,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.20 : 18,572.70 = 8,040.20 : x
  2. Step 2: Convert to fraction form
    12,414.20/18,572.70 = 8,040.20/x
  3. Step 3: Cross multiply
    12,414.20x = 18,572.70 × 8,040.20
  4. Step 4: Simplify right side
    12,414.20x = 149,328,222.54
  5. Step 5: Solve for x
    x = 149,328,222.54/12,414.20
  6. Step 6: Final answer
    x = 12,028.82

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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.