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Finding the Fourth Proportional to 12,102.38, 18,149.22 and 4,309.64

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Solution

The fourth proportional to 12,102.38, 18,149.22 and 4,309.64 is: 6,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.38 : 18,149.22 = 4,309.64 : x
  2. Step 2: Convert to fraction form
    12,102.38/18,149.22 = 4,309.64/x
  3. Step 3: Cross multiply
    12,102.38x = 18,149.22 × 4,309.64
  4. Step 4: Simplify right side
    12,102.38x = 78,216,604.48
  5. Step 5: Solve for x
    x = 78,216,604.48/12,102.38
  6. Step 6: Final answer
    x = 6,462.91

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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.