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Finding the Fourth Proportional to 12,281.40, 16,949.70 and 8,310.60

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Solution

The fourth proportional to 12,281.40, 16,949.70 and 8,310.60 is: 11,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.40 : 16,949.70 = 8,310.60 : x
  2. Step 2: Convert to fraction form
    12,281.40/16,949.70 = 8,310.60/x
  3. Step 3: Cross multiply
    12,281.40x = 16,949.70 × 8,310.60
  4. Step 4: Simplify right side
    12,281.40x = 140,862,176.82
  5. Step 5: Solve for x
    x = 140,862,176.82/12,281.40
  6. Step 6: Final answer
    x = 11,469.55

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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.