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Finding the Fourth Proportional to 20,082.26, 27,713.10 and 11,129.69

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Solution

The fourth proportional to 20,082.26, 27,713.10 and 11,129.69 is: 15,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.26 : 27,713.10 = 11,129.69 : x
  2. Step 2: Convert to fraction form
    20,082.26/27,713.10 = 11,129.69/x
  3. Step 3: Cross multiply
    20,082.26x = 27,713.10 × 11,129.69
  4. Step 4: Simplify right side
    20,082.26x = 308,438,073.37
  5. Step 5: Solve for x
    x = 308,438,073.37/20,082.26
  6. Step 6: Final answer
    x = 15,358.74

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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.