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Finding the Fourth Proportional to 23,144.46, 34,709.53 and 8,351.49

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Solution

The fourth proportional to 23,144.46, 34,709.53 and 8,351.49 is: 12,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.46 : 34,709.53 = 8,351.49 : x
  2. Step 2: Convert to fraction form
    23,144.46/34,709.53 = 8,351.49/x
  3. Step 3: Cross multiply
    23,144.46x = 34,709.53 × 8,351.49
  4. Step 4: Simplify right side
    23,144.46x = 289,876,292.70
  5. Step 5: Solve for x
    x = 289,876,292.70/23,144.46
  6. Step 6: Final answer
    x = 12,524.65

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1.5x scale

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.