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Finding the Fourth Proportional to 20,094.92, 27,728.42 and 11,142.36

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Solution

The fourth proportional to 20,094.92, 27,728.42 and 11,142.36 is: 15,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.92 : 27,728.42 = 11,142.36 : x
  2. Step 2: Convert to fraction form
    20,094.92/27,728.42 = 11,142.36/x
  3. Step 3: Cross multiply
    20,094.92x = 27,728.42 × 11,142.36
  4. Step 4: Simplify right side
    20,094.92x = 308,960,037.87
  5. Step 5: Solve for x
    x = 308,960,037.87/20,094.92
  6. Step 6: Final answer
    x = 15,375.03

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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.