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Finding the Fourth Proportional to 24,267, 36,400.68 and 7,851

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Solution

The fourth proportional to 24,267, 36,400.68 and 7,851 is: 11,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267 : 36,400.68 = 7,851 : x
  2. Step 2: Convert to fraction form
    24,267/36,400.68 = 7,851/x
  3. Step 3: Cross multiply
    24,267x = 36,400.68 × 7,851
  4. Step 4: Simplify right side
    24,267x = 285,781,738.68
  5. Step 5: Solve for x
    x = 285,781,738.68/24,267
  6. Step 6: Final answer
    x = 11,776.56

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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.