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Finding the Fourth Proportional to 16,797.26, 23,183.06 and 9,727.98

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Solution

The fourth proportional to 16,797.26, 23,183.06 and 9,727.98 is: 13,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797.26 : 23,183.06 = 9,727.98 : x
  2. Step 2: Convert to fraction form
    16,797.26/23,183.06 = 9,727.98/x
  3. Step 3: Cross multiply
    16,797.26x = 23,183.06 × 9,727.98
  4. Step 4: Simplify right side
    16,797.26x = 225,524,295.38
  5. Step 5: Solve for x
    x = 225,524,295.38/16,797.26
  6. Step 6: Final answer
    x = 13,426.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.