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Finding the Fourth Proportional to 22,514.78, 33,771.36 and 6,932

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Solution

The fourth proportional to 22,514.78, 33,771.36 and 6,932 is: 10,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.78 : 33,771.36 = 6,932 : x
  2. Step 2: Convert to fraction form
    22,514.78/33,771.36 = 6,932/x
  3. Step 3: Cross multiply
    22,514.78x = 33,771.36 × 6,932
  4. Step 4: Simplify right side
    22,514.78x = 234,103,067.52
  5. Step 5: Solve for x
    x = 234,103,067.52/22,514.78
  6. Step 6: Final answer
    x = 10,397.75

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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.