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Finding the Fourth Proportional to 12,217.87, 16,856.79 and 7,180.48

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Solution

The fourth proportional to 12,217.87, 16,856.79 and 7,180.48 is: 9,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.87 : 16,856.79 = 7,180.48 : x
  2. Step 2: Convert to fraction form
    12,217.87/16,856.79 = 7,180.48/x
  3. Step 3: Cross multiply
    12,217.87x = 16,856.79 × 7,180.48
  4. Step 4: Simplify right side
    12,217.87x = 121,039,759.18
  5. Step 5: Solve for x
    x = 121,039,759.18/12,217.87
  6. Step 6: Final answer
    x = 9,906.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.