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Finding the Fourth Proportional to 17,961.92, 26,936.40 and 7,568

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Solution

The fourth proportional to 17,961.92, 26,936.40 and 7,568 is: 11,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.92 : 26,936.40 = 7,568 : x
  2. Step 2: Convert to fraction form
    17,961.92/26,936.40 = 7,568/x
  3. Step 3: Cross multiply
    17,961.92x = 26,936.40 × 7,568
  4. Step 4: Simplify right side
    17,961.92x = 203,854,675.20
  5. Step 5: Solve for x
    x = 203,854,675.20/17,961.92
  6. Step 6: Final answer
    x = 11,349.27

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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.