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Finding the Fourth Proportional to 12,198.92, 18,294.54 and 3,989

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Solution

The fourth proportional to 12,198.92, 18,294.54 and 3,989 is: 5,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.92 : 18,294.54 = 3,989 : x
  2. Step 2: Convert to fraction form
    12,198.92/18,294.54 = 3,989/x
  3. Step 3: Cross multiply
    12,198.92x = 18,294.54 × 3,989
  4. Step 4: Simplify right side
    12,198.92x = 72,976,920.06
  5. Step 5: Solve for x
    x = 72,976,920.06/12,198.92
  6. Step 6: Final answer
    x = 5,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.