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Finding the Fourth Proportional to 23,840.78, 35,747.22 and 7,195.82

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Solution

The fourth proportional to 23,840.78, 35,747.22 and 7,195.82 is: 10,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.78 : 35,747.22 = 7,195.82 : x
  2. Step 2: Convert to fraction form
    23,840.78/35,747.22 = 7,195.82/x
  3. Step 3: Cross multiply
    23,840.78x = 35,747.22 × 7,195.82
  4. Step 4: Simplify right side
    23,840.78x = 257,230,560.62
  5. Step 5: Solve for x
    x = 257,230,560.62/23,840.78
  6. Step 6: Final answer
    x = 10,789.52

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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.