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Finding the Fourth Proportional to 20,471.72, 28,251.41 and 11,519.23

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Solution

The fourth proportional to 20,471.72, 28,251.41 and 11,519.23 is: 15,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.72 : 28,251.41 = 11,519.23 : x
  2. Step 2: Convert to fraction form
    20,471.72/28,251.41 = 11,519.23/x
  3. Step 3: Cross multiply
    20,471.72x = 28,251.41 × 11,519.23
  4. Step 4: Simplify right side
    20,471.72x = 325,434,327.57
  5. Step 5: Solve for x
    x = 325,434,327.57/20,471.72
  6. Step 6: Final answer
    x = 15,896.77

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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.