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Finding the Fourth Proportional to 20,471.47, 28,249.09 and 11,517.24

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Solution

The fourth proportional to 20,471.47, 28,249.09 and 11,517.24 is: 15,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.47 : 28,249.09 = 11,517.24 : x
  2. Step 2: Convert to fraction form
    20,471.47/28,249.09 = 11,517.24/x
  3. Step 3: Cross multiply
    20,471.47x = 28,249.09 × 11,517.24
  4. Step 4: Simplify right side
    20,471.47x = 325,351,549.31
  5. Step 5: Solve for x
    x = 325,351,549.31/20,471.47
  6. Step 6: Final answer
    x = 15,892.93

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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.