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Finding the Fourth Proportional to 20,142.14, 27,794.98 and 11,189.12

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Solution

The fourth proportional to 20,142.14, 27,794.98 and 11,189.12 is: 15,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.14 : 27,794.98 = 11,189.12 : x
  2. Step 2: Convert to fraction form
    20,142.14/27,794.98 = 11,189.12/x
  3. Step 3: Cross multiply
    20,142.14x = 27,794.98 × 11,189.12
  4. Step 4: Simplify right side
    20,142.14x = 311,001,366.62
  5. Step 5: Solve for x
    x = 311,001,366.62/20,142.14
  6. Step 6: Final answer
    x = 15,440.33

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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.