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Finding the Fourth Proportional to 12,247.76, 18,371.63 and 8,114.03

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Solution

The fourth proportional to 12,247.76, 18,371.63 and 8,114.03 is: 12,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.76 : 18,371.63 = 8,114.03 : x
  2. Step 2: Convert to fraction form
    12,247.76/18,371.63 = 8,114.03/x
  3. Step 3: Cross multiply
    12,247.76x = 18,371.63 × 8,114.03
  4. Step 4: Simplify right side
    12,247.76x = 149,067,824.54
  5. Step 5: Solve for x
    x = 149,067,824.54/12,247.76
  6. Step 6: Final answer
    x = 12,171.03

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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.