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Finding the Fourth Proportional to 24,546.81, 36,819.17 and 7,906.47

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Solution

The fourth proportional to 24,546.81, 36,819.17 and 7,906.47 is: 11,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.81 : 36,819.17 = 7,906.47 : x
  2. Step 2: Convert to fraction form
    24,546.81/36,819.17 = 7,906.47/x
  3. Step 3: Cross multiply
    24,546.81x = 36,819.17 × 7,906.47
  4. Step 4: Simplify right side
    24,546.81x = 291,109,623.50
  5. Step 5: Solve for x
    x = 291,109,623.50/24,546.81
  6. Step 6: Final answer
    x = 11,859.37

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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.