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Finding the Fourth Proportional to 23,144.50, 34,709.54 and 8,351.48

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Solution

The fourth proportional to 23,144.50, 34,709.54 and 8,351.48 is: 12,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.50 : 34,709.54 = 8,351.48 : x
  2. Step 2: Convert to fraction form
    23,144.50/34,709.54 = 8,351.48/x
  3. Step 3: Cross multiply
    23,144.50x = 34,709.54 × 8,351.48
  4. Step 4: Simplify right side
    23,144.50x = 289,876,029.12
  5. Step 5: Solve for x
    x = 289,876,029.12/23,144.50
  6. Step 6: Final answer
    x = 12,524.62

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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.