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Finding the Fourth Proportional to 15,764.50, 23,644.32 and 5,239.09

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Solution

The fourth proportional to 15,764.50, 23,644.32 and 5,239.09 is: 7,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.50 : 23,644.32 = 5,239.09 : x
  2. Step 2: Convert to fraction form
    15,764.50/23,644.32 = 5,239.09/x
  3. Step 3: Cross multiply
    15,764.50x = 23,644.32 × 5,239.09
  4. Step 4: Simplify right side
    15,764.50x = 123,874,720.47
  5. Step 5: Solve for x
    x = 123,874,720.47/15,764.50
  6. Step 6: Final answer
    x = 7,857.83

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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.