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Finding the Fourth Proportional to 12,397.97, 18,596.96 and 3,163.97

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Solution

The fourth proportional to 12,397.97, 18,596.96 and 3,163.97 is: 4,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.97 : 18,596.96 = 3,163.97 : x
  2. Step 2: Convert to fraction form
    12,397.97/18,596.96 = 3,163.97/x
  3. Step 3: Cross multiply
    12,397.97x = 18,596.96 × 3,163.97
  4. Step 4: Simplify right side
    12,397.97x = 58,840,254.20
  5. Step 5: Solve for x
    x = 58,840,254.20/12,397.97
  6. Step 6: Final answer
    x = 4,745.96

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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.