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Finding the Fourth Proportional to 22,618.78, 33,929.82 and 6,822.56

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Solution

The fourth proportional to 22,618.78, 33,929.82 and 6,822.56 is: 10,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.78 : 33,929.82 = 6,822.56 : x
  2. Step 2: Convert to fraction form
    22,618.78/33,929.82 = 6,822.56/x
  3. Step 3: Cross multiply
    22,618.78x = 33,929.82 × 6,822.56
  4. Step 4: Simplify right side
    22,618.78x = 231,488,317.56
  5. Step 5: Solve for x
    x = 231,488,317.56/22,618.78
  6. Step 6: Final answer
    x = 10,234.34

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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.