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Finding the Fourth Proportional to 12,398.46, 18,600.38 and 4,078.06

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Solution

The fourth proportional to 12,398.46, 18,600.38 and 4,078.06 is: 6,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.46 : 18,600.38 = 4,078.06 : x
  2. Step 2: Convert to fraction form
    12,398.46/18,600.38 = 4,078.06/x
  3. Step 3: Cross multiply
    12,398.46x = 18,600.38 × 4,078.06
  4. Step 4: Simplify right side
    12,398.46x = 75,853,414.06
  5. Step 5: Solve for x
    x = 75,853,414.06/12,398.46
  6. Step 6: Final answer
    x = 6,117.97

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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.