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Finding the Fourth Proportional to 20,094.20, 27,730.20 and 11,141.84

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Solution

The fourth proportional to 20,094.20, 27,730.20 and 11,141.84 is: 15,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.20 : 27,730.20 = 11,141.84 : x
  2. Step 2: Convert to fraction form
    20,094.20/27,730.20 = 11,141.84/x
  3. Step 3: Cross multiply
    20,094.20x = 27,730.20 × 11,141.84
  4. Step 4: Simplify right side
    20,094.20x = 308,965,451.57
  5. Step 5: Solve for x
    x = 308,965,451.57/20,094.20
  6. Step 6: Final answer
    x = 15,375.85

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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.