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Finding the Fourth Proportional to 12,311.72, 18,470.49 and 3,991.74

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Solution

The fourth proportional to 12,311.72, 18,470.49 and 3,991.74 is: 5,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.72 : 18,470.49 = 3,991.74 : x
  2. Step 2: Convert to fraction form
    12,311.72/18,470.49 = 3,991.74/x
  3. Step 3: Cross multiply
    12,311.72x = 18,470.49 × 3,991.74
  4. Step 4: Simplify right side
    12,311.72x = 73,729,393.75
  5. Step 5: Solve for x
    x = 73,729,393.75/12,311.72
  6. Step 6: Final answer
    x = 5,988.56

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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.