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Finding the Fourth Proportional to 22,800, 34,201.92 and 6,384

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Solution

The fourth proportional to 22,800, 34,201.92 and 6,384 is: 9,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800 : 34,201.92 = 6,384 : x
  2. Step 2: Convert to fraction form
    22,800/34,201.92 = 6,384/x
  3. Step 3: Cross multiply
    22,800x = 34,201.92 × 6,384
  4. Step 4: Simplify right side
    22,800x = 218,345,057.28
  5. Step 5: Solve for x
    x = 218,345,057.28/22,800
  6. Step 6: Final answer
    x = 9,576.54

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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.