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Finding the Fourth Proportional to 16,496.81, 22,735.07 and 11,716.97

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Solution

The fourth proportional to 16,496.81, 22,735.07 and 11,716.97 is: 16,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.81 : 22,735.07 = 11,716.97 : x
  2. Step 2: Convert to fraction form
    16,496.81/22,735.07 = 11,716.97/x
  3. Step 3: Cross multiply
    16,496.81x = 22,735.07 × 11,716.97
  4. Step 4: Simplify right side
    16,496.81x = 266,385,960.88
  5. Step 5: Solve for x
    x = 266,385,960.88/16,496.81
  6. Step 6: Final answer
    x = 16,147.73

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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.