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Finding the Fourth Proportional to 22,514.38, 33,772.04 and 6,932

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Solution

The fourth proportional to 22,514.38, 33,772.04 and 6,932 is: 10,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.38 : 33,772.04 = 6,932 : x
  2. Step 2: Convert to fraction form
    22,514.38/33,772.04 = 6,932/x
  3. Step 3: Cross multiply
    22,514.38x = 33,772.04 × 6,932
  4. Step 4: Simplify right side
    22,514.38x = 234,107,781.28
  5. Step 5: Solve for x
    x = 234,107,781.28/22,514.38
  6. Step 6: Final answer
    x = 10,398.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.