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Finding the Fourth Proportional to 22,175.10, 33,219.45 and 13,383.90

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Solution

The fourth proportional to 22,175.10, 33,219.45 and 13,383.90 is: 20,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.10 : 33,219.45 = 13,383.90 : x
  2. Step 2: Convert to fraction form
    22,175.10/33,219.45 = 13,383.90/x
  3. Step 3: Cross multiply
    22,175.10x = 33,219.45 × 13,383.90
  4. Step 4: Simplify right side
    22,175.10x = 444,605,796.86
  5. Step 5: Solve for x
    x = 444,605,796.86/22,175.10
  6. Step 6: Final answer
    x = 20,049.78

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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.