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Finding the Fourth Proportional to 23,819.92, 35,704.67 and 8,009.90

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Solution

The fourth proportional to 23,819.92, 35,704.67 and 8,009.90 is: 12,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.92 : 35,704.67 = 8,009.90 : x
  2. Step 2: Convert to fraction form
    23,819.92/35,704.67 = 8,009.90/x
  3. Step 3: Cross multiply
    23,819.92x = 35,704.67 × 8,009.90
  4. Step 4: Simplify right side
    23,819.92x = 285,990,836.23
  5. Step 5: Solve for x
    x = 285,990,836.23/23,819.92
  6. Step 6: Final answer
    x = 12,006.37

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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.