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Finding the Fourth Proportional to 23,849.39, 35,774.07 and 8,267

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Solution

The fourth proportional to 23,849.39, 35,774.07 and 8,267 is: 12,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.39 : 35,774.07 = 8,267 : x
  2. Step 2: Convert to fraction form
    23,849.39/35,774.07 = 8,267/x
  3. Step 3: Cross multiply
    23,849.39x = 35,774.07 × 8,267
  4. Step 4: Simplify right side
    23,849.39x = 295,744,236.69
  5. Step 5: Solve for x
    x = 295,744,236.69/23,849.39
  6. Step 6: Final answer
    x = 12,400.49

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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.