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Finding the Fourth Proportional to 23,819.84, 32,796.56 and 20,227.44

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Solution

The fourth proportional to 23,819.84, 32,796.56 and 20,227.44 is: 27,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.84 : 32,796.56 = 20,227.44 : x
  2. Step 2: Convert to fraction form
    23,819.84/32,796.56 = 20,227.44/x
  3. Step 3: Cross multiply
    23,819.84x = 32,796.56 × 20,227.44
  4. Step 4: Simplify right side
    23,819.84x = 663,390,449.61
  5. Step 5: Solve for x
    x = 663,390,449.61/23,819.84
  6. Step 6: Final answer
    x = 27,850.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.