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Finding the Fourth Proportional to 12,197.78, 18,297.31 and 3,433.38

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Solution

The fourth proportional to 12,197.78, 18,297.31 and 3,433.38 is: 5,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.78 : 18,297.31 = 3,433.38 : x
  2. Step 2: Convert to fraction form
    12,197.78/18,297.31 = 3,433.38/x
  3. Step 3: Cross multiply
    12,197.78x = 18,297.31 × 3,433.38
  4. Step 4: Simplify right side
    12,197.78x = 62,821,609.62
  5. Step 5: Solve for x
    x = 62,821,609.62/12,197.78
  6. Step 6: Final answer
    x = 5,150.25

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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.