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Finding the Fourth Proportional to 16,626.96, 24,918.57 and 7,864.38

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Solution

The fourth proportional to 16,626.96, 24,918.57 and 7,864.38 is: 11,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,626.96 : 24,918.57 = 7,864.38 : x
  2. Step 2: Convert to fraction form
    16,626.96/24,918.57 = 7,864.38/x
  3. Step 3: Cross multiply
    16,626.96x = 24,918.57 × 7,864.38
  4. Step 4: Simplify right side
    16,626.96x = 195,969,103.54
  5. Step 5: Solve for x
    x = 195,969,103.54/16,626.96
  6. Step 6: Final answer
    x = 11,786.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.