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Finding the Fourth Proportional to 15,757.50, 23,633.82 and 5,232.09

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Solution

The fourth proportional to 15,757.50, 23,633.82 and 5,232.09 is: 7,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.50 : 23,633.82 = 5,232.09 : x
  2. Step 2: Convert to fraction form
    15,757.50/23,633.82 = 5,232.09/x
  3. Step 3: Cross multiply
    15,757.50x = 23,633.82 × 5,232.09
  4. Step 4: Simplify right side
    15,757.50x = 123,654,273.28
  5. Step 5: Solve for x
    x = 123,654,273.28/15,757.50
  6. Step 6: Final answer
    x = 7,847.33

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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.