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Finding the Fourth Proportional to 12,226.31, 18,348.65 and 5,657.10

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Solution

The fourth proportional to 12,226.31, 18,348.65 and 5,657.10 is: 8,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.31 : 18,348.65 = 5,657.10 : x
  2. Step 2: Convert to fraction form
    12,226.31/18,348.65 = 5,657.10/x
  3. Step 3: Cross multiply
    12,226.31x = 18,348.65 × 5,657.10
  4. Step 4: Simplify right side
    12,226.31x = 103,800,147.92
  5. Step 5: Solve for x
    x = 103,800,147.92/12,226.31
  6. Step 6: Final answer
    x = 8,489.90

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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.