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Finding the Fourth Proportional to 22,028.80, 33,044.12 and 6,446.42

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Solution

The fourth proportional to 22,028.80, 33,044.12 and 6,446.42 is: 9,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028.80 : 33,044.12 = 6,446.42 : x
  2. Step 2: Convert to fraction form
    22,028.80/33,044.12 = 6,446.42/x
  3. Step 3: Cross multiply
    22,028.80x = 33,044.12 × 6,446.42
  4. Step 4: Simplify right side
    22,028.80x = 213,016,276.05
  5. Step 5: Solve for x
    x = 213,016,276.05/22,028.80
  6. Step 6: Final answer
    x = 9,669.90

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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.