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Finding the Fourth Proportional to 22,576.91, 33,873.05 and 8,540.97

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Solution

The fourth proportional to 22,576.91, 33,873.05 and 8,540.97 is: 12,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.91 : 33,873.05 = 8,540.97 : x
  2. Step 2: Convert to fraction form
    22,576.91/33,873.05 = 8,540.97/x
  3. Step 3: Cross multiply
    22,576.91x = 33,873.05 × 8,540.97
  4. Step 4: Simplify right side
    22,576.91x = 289,308,703.86
  5. Step 5: Solve for x
    x = 289,308,703.86/22,576.91
  6. Step 6: Final answer
    x = 12,814.36

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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.