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Finding the Fourth Proportional to 12,149.13, 16,766.15 and 11,708.49

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Solution

The fourth proportional to 12,149.13, 16,766.15 and 11,708.49 is: 16,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.13 : 16,766.15 = 11,708.49 : x
  2. Step 2: Convert to fraction form
    12,149.13/16,766.15 = 11,708.49/x
  3. Step 3: Cross multiply
    12,149.13x = 16,766.15 × 11,708.49
  4. Step 4: Simplify right side
    12,149.13x = 196,306,241.07
  5. Step 5: Solve for x
    x = 196,306,241.07/12,149.13
  6. Step 6: Final answer
    x = 16,158.05

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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.