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Finding the Fourth Proportional to 17,231.26, 25,846.98 and 6,843

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Solution

The fourth proportional to 17,231.26, 25,846.98 and 6,843 is: 10,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.26 : 25,846.98 = 6,843 : x
  2. Step 2: Convert to fraction form
    17,231.26/25,846.98 = 6,843/x
  3. Step 3: Cross multiply
    17,231.26x = 25,846.98 × 6,843
  4. Step 4: Simplify right side
    17,231.26x = 176,870,884.14
  5. Step 5: Solve for x
    x = 176,870,884.14/17,231.26
  6. Step 6: Final answer
    x = 10,264.54

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Why These Related Problems?

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