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Finding the Fourth Proportional to 20,202.30, 27,878.40 and 11,249.55

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Solution

The fourth proportional to 20,202.30, 27,878.40 and 11,249.55 is: 15,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.30 : 27,878.40 = 11,249.55 : x
  2. Step 2: Convert to fraction form
    20,202.30/27,878.40 = 11,249.55/x
  3. Step 3: Cross multiply
    20,202.30x = 27,878.40 × 11,249.55
  4. Step 4: Simplify right side
    20,202.30x = 313,619,454.72
  5. Step 5: Solve for x
    x = 313,619,454.72/20,202.30
  6. Step 6: Final answer
    x = 15,523.95

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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.