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Finding the Fourth Proportional to 23,249.78, 34,871.78 and 7,456.58

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Solution

The fourth proportional to 23,249.78, 34,871.78 and 7,456.58 is: 11,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.78 : 34,871.78 = 7,456.58 : x
  2. Step 2: Convert to fraction form
    23,249.78/34,871.78 = 7,456.58/x
  3. Step 3: Cross multiply
    23,249.78x = 34,871.78 × 7,456.58
  4. Step 4: Simplify right side
    23,249.78x = 260,024,217.31
  5. Step 5: Solve for x
    x = 260,024,217.31/23,249.78
  6. Step 6: Final answer
    x = 11,183.94

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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.