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Finding the Fourth Proportional to 20,057.14, 27,682.68 and 11,564.92

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Solution

The fourth proportional to 20,057.14, 27,682.68 and 11,564.92 is: 15,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.14 : 27,682.68 = 11,564.92 : x
  2. Step 2: Convert to fraction form
    20,057.14/27,682.68 = 11,564.92/x
  3. Step 3: Cross multiply
    20,057.14x = 27,682.68 × 11,564.92
  4. Step 4: Simplify right side
    20,057.14x = 320,147,979.59
  5. Step 5: Solve for x
    x = 320,147,979.59/20,057.14
  6. Step 6: Final answer
    x = 15,961.80

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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.