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Finding the Fourth Proportional to 12,149.71, 16,645.17 and 11,694.67

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Solution

The fourth proportional to 12,149.71, 16,645.17 and 11,694.67 is: 16,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.71 : 16,645.17 = 11,694.67 : x
  2. Step 2: Convert to fraction form
    12,149.71/16,645.17 = 11,694.67/x
  3. Step 3: Cross multiply
    12,149.71x = 16,645.17 × 11,694.67
  4. Step 4: Simplify right side
    12,149.71x = 194,659,770.24
  5. Step 5: Solve for x
    x = 194,659,770.24/12,149.71
  6. Step 6: Final answer
    x = 16,021.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.