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Finding the Fourth Proportional to 20,093.85, 27,729.40 and 11,142.67

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Solution

The fourth proportional to 20,093.85, 27,729.40 and 11,142.67 is: 15,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.85 : 27,729.40 = 11,142.67 : x
  2. Step 2: Convert to fraction form
    20,093.85/27,729.40 = 11,142.67/x
  3. Step 3: Cross multiply
    20,093.85x = 27,729.40 × 11,142.67
  4. Step 4: Simplify right side
    20,093.85x = 308,979,553.50
  5. Step 5: Solve for x
    x = 308,979,553.50/20,093.85
  6. Step 6: Final answer
    x = 15,376.82

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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.