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Finding the Fourth Proportional to 20,167.70, 27,829.29 and 11,213.75

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Solution

The fourth proportional to 20,167.70, 27,829.29 and 11,213.75 is: 15,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.70 : 27,829.29 = 11,213.75 : x
  2. Step 2: Convert to fraction form
    20,167.70/27,829.29 = 11,213.75/x
  3. Step 3: Cross multiply
    20,167.70x = 27,829.29 × 11,213.75
  4. Step 4: Simplify right side
    20,167.70x = 312,070,749.28
  5. Step 5: Solve for x
    x = 312,070,749.28/20,167.70
  6. Step 6: Final answer
    x = 15,473.79

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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.