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Finding the Fourth Proportional to 12,027.35, 18,040.46 and 3,142.68

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Solution

The fourth proportional to 12,027.35, 18,040.46 and 3,142.68 is: 4,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.35 : 18,040.46 = 3,142.68 : x
  2. Step 2: Convert to fraction form
    12,027.35/18,040.46 = 3,142.68/x
  3. Step 3: Cross multiply
    12,027.35x = 18,040.46 × 3,142.68
  4. Step 4: Simplify right side
    12,027.35x = 56,695,377.12
  5. Step 5: Solve for x
    x = 56,695,377.12/12,027.35
  6. Step 6: Final answer
    x = 4,713.87

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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.