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Finding the Fourth Proportional to 12,195.97, 18,292.05 and 3,874.90

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Solution

The fourth proportional to 12,195.97, 18,292.05 and 3,874.90 is: 5,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.97 : 18,292.05 = 3,874.90 : x
  2. Step 2: Convert to fraction form
    12,195.97/18,292.05 = 3,874.90/x
  3. Step 3: Cross multiply
    12,195.97x = 18,292.05 × 3,874.90
  4. Step 4: Simplify right side
    12,195.97x = 70,879,864.55
  5. Step 5: Solve for x
    x = 70,879,864.55/12,195.97
  6. Step 6: Final answer
    x = 5,811.74

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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.