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Finding the Fourth Proportional to 12,682.08, 18,998.46 and 8,286.21

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Solution

The fourth proportional to 12,682.08, 18,998.46 and 8,286.21 is: 12,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.08 : 18,998.46 = 8,286.21 : x
  2. Step 2: Convert to fraction form
    12,682.08/18,998.46 = 8,286.21/x
  3. Step 3: Cross multiply
    12,682.08x = 18,998.46 × 8,286.21
  4. Step 4: Simplify right side
    12,682.08x = 157,425,229.24
  5. Step 5: Solve for x
    x = 157,425,229.24/12,682.08
  6. Step 6: Final answer
    x = 12,413.20

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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.