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Finding the Fourth Proportional to 22,797, 34,198.92 and 8,003.32

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Solution

The fourth proportional to 22,797, 34,198.92 and 8,003.32 is: 12,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797 : 34,198.92 = 8,003.32 : x
  2. Step 2: Convert to fraction form
    22,797/34,198.92 = 8,003.32/x
  3. Step 3: Cross multiply
    22,797x = 34,198.92 × 8,003.32
  4. Step 4: Simplify right side
    22,797x = 273,704,900.41
  5. Step 5: Solve for x
    x = 273,704,900.41/22,797
  6. Step 6: Final answer
    x = 12,006.18

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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.