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Finding the Fourth Proportional to 20,194.44, 30,286.92 and 7,709.88

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Solution

The fourth proportional to 20,194.44, 30,286.92 and 7,709.88 is: 11,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.44 : 30,286.92 = 7,709.88 : x
  2. Step 2: Convert to fraction form
    20,194.44/30,286.92 = 7,709.88/x
  3. Step 3: Cross multiply
    20,194.44x = 30,286.92 × 7,709.88
  4. Step 4: Simplify right side
    20,194.44x = 233,508,518.77
  5. Step 5: Solve for x
    x = 233,508,518.77/20,194.44
  6. Step 6: Final answer
    x = 11,563.01

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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.