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Finding the Fourth Proportional to 20,174.33, 27,840.17 and 11,221.64

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Solution

The fourth proportional to 20,174.33, 27,840.17 and 11,221.64 is: 15,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.33 : 27,840.17 = 11,221.64 : x
  2. Step 2: Convert to fraction form
    20,174.33/27,840.17 = 11,221.64/x
  3. Step 3: Cross multiply
    20,174.33x = 27,840.17 × 11,221.64
  4. Step 4: Simplify right side
    20,174.33x = 312,412,365.28
  5. Step 5: Solve for x
    x = 312,412,365.28/20,174.33
  6. Step 6: Final answer
    x = 15,485.64

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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.