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Finding the Fourth Proportional to 20,165.54, 27,829.10 and 11,213.42

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Solution

The fourth proportional to 20,165.54, 27,829.10 and 11,213.42 is: 15,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.54 : 27,829.10 = 11,213.42 : x
  2. Step 2: Convert to fraction form
    20,165.54/27,829.10 = 11,213.42/x
  3. Step 3: Cross multiply
    20,165.54x = 27,829.10 × 11,213.42
  4. Step 4: Simplify right side
    20,165.54x = 312,059,400.03
  5. Step 5: Solve for x
    x = 312,059,400.03/20,165.54
  6. Step 6: Final answer
    x = 15,474.88

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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.