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Finding the Fourth Proportional to 12,142.74, 18,211.55 and 6,213.27

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Solution

The fourth proportional to 12,142.74, 18,211.55 and 6,213.27 is: 9,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.74 : 18,211.55 = 6,213.27 : x
  2. Step 2: Convert to fraction form
    12,142.74/18,211.55 = 6,213.27/x
  3. Step 3: Cross multiply
    12,142.74x = 18,211.55 × 6,213.27
  4. Step 4: Simplify right side
    12,142.74x = 113,153,246.20
  5. Step 5: Solve for x
    x = 113,153,246.20/12,142.74
  6. Step 6: Final answer
    x = 9,318.59

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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.