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Finding the Fourth Proportional to 20,094.94, 27,728.44 and 11,142.36

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Solution

The fourth proportional to 20,094.94, 27,728.44 and 11,142.36 is: 15,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.94 : 27,728.44 = 11,142.36 : x
  2. Step 2: Convert to fraction form
    20,094.94/27,728.44 = 11,142.36/x
  3. Step 3: Cross multiply
    20,094.94x = 27,728.44 × 11,142.36
  4. Step 4: Simplify right side
    20,094.94x = 308,960,260.72
  5. Step 5: Solve for x
    x = 308,960,260.72/20,094.94
  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.