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Finding the Fourth Proportional to 12,309.44, 18,462.33 and 3,990.20

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Solution

The fourth proportional to 12,309.44, 18,462.33 and 3,990.20 is: 5,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.44 : 18,462.33 = 3,990.20 : x
  2. Step 2: Convert to fraction form
    12,309.44/18,462.33 = 3,990.20/x
  3. Step 3: Cross multiply
    12,309.44x = 18,462.33 × 3,990.20
  4. Step 4: Simplify right side
    12,309.44x = 73,668,296.85
  5. Step 5: Solve for x
    x = 73,668,296.85/12,309.44
  6. Step 6: Final answer
    x = 5,984.70

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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.