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Finding the Fourth Proportional to 22,351.32, 33,514.68 and 6,766.92

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Solution

The fourth proportional to 22,351.32, 33,514.68 and 6,766.92 is: 10,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.32 : 33,514.68 = 6,766.92 : x
  2. Step 2: Convert to fraction form
    22,351.32/33,514.68 = 6,766.92/x
  3. Step 3: Cross multiply
    22,351.32x = 33,514.68 × 6,766.92
  4. Step 4: Simplify right side
    22,351.32x = 226,791,158.39
  5. Step 5: Solve for x
    x = 226,791,158.39/22,351.32
  6. Step 6: Final answer
    x = 10,146.66

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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.