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Finding the Fourth Proportional to 20,093.70, 27,729.54 and 11,141.31

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Solution

The fourth proportional to 20,093.70, 27,729.54 and 11,141.31 is: 15,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.70 : 27,729.54 = 11,141.31 : x
  2. Step 2: Convert to fraction form
    20,093.70/27,729.54 = 11,141.31/x
  3. Step 3: Cross multiply
    20,093.70x = 27,729.54 × 11,141.31
  4. Step 4: Simplify right side
    20,093.70x = 308,943,401.30
  5. Step 5: Solve for x
    x = 308,943,401.30/20,093.70
  6. Step 6: Final answer
    x = 15,375.14

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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.