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Finding the Fourth Proportional to 16,786.14, 23,163.03 and 9,711.42

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Solution

The fourth proportional to 16,786.14, 23,163.03 and 9,711.42 is: 13,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786.14 : 23,163.03 = 9,711.42 : x
  2. Step 2: Convert to fraction form
    16,786.14/23,163.03 = 9,711.42/x
  3. Step 3: Cross multiply
    16,786.14x = 23,163.03 × 9,711.42
  4. Step 4: Simplify right side
    16,786.14x = 224,945,912.80
  5. Step 5: Solve for x
    x = 224,945,912.80/16,786.14
  6. Step 6: Final answer
    x = 13,400.69

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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.