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Finding the Fourth Proportional to 12,217.70, 16,851.20 and 8,447.18

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Solution

The fourth proportional to 12,217.70, 16,851.20 and 8,447.18 is: 11,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.70 : 16,851.20 = 8,447.18 : x
  2. Step 2: Convert to fraction form
    12,217.70/16,851.20 = 8,447.18/x
  3. Step 3: Cross multiply
    12,217.70x = 16,851.20 × 8,447.18
  4. Step 4: Simplify right side
    12,217.70x = 142,344,993.12
  5. Step 5: Solve for x
    x = 142,344,993.12/12,217.70
  6. Step 6: Final answer
    x = 11,650.72

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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.