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Finding the Fourth Proportional to 20,175.96, 27,842.42 and 11,223.27

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Solution

The fourth proportional to 20,175.96, 27,842.42 and 11,223.27 is: 15,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.96 : 27,842.42 = 11,223.27 : x
  2. Step 2: Convert to fraction form
    20,175.96/27,842.42 = 11,223.27/x
  3. Step 3: Cross multiply
    20,175.96x = 27,842.42 × 11,223.27
  4. Step 4: Simplify right side
    20,175.96x = 312,482,941.00
  5. Step 5: Solve for x
    x = 312,482,941.00/20,175.96
  6. Step 6: Final answer
    x = 15,487.88

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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.