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Finding the Fourth Proportional to 20,313.66, 30,474.31 and 9,221.13

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Solution

The fourth proportional to 20,313.66, 30,474.31 and 9,221.13 is: 13,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.66 : 30,474.31 = 9,221.13 : x
  2. Step 2: Convert to fraction form
    20,313.66/30,474.31 = 9,221.13/x
  3. Step 3: Cross multiply
    20,313.66x = 30,474.31 × 9,221.13
  4. Step 4: Simplify right side
    20,313.66x = 281,007,451.88
  5. Step 5: Solve for x
    x = 281,007,451.88/20,313.66
  6. Step 6: Final answer
    x = 13,833.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.