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Finding the Fourth Proportional to 20,296.96, 30,449.44 and 7,158.56

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Solution

The fourth proportional to 20,296.96, 30,449.44 and 7,158.56 is: 10,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.96 : 30,449.44 = 7,158.56 : x
  2. Step 2: Convert to fraction form
    20,296.96/30,449.44 = 7,158.56/x
  3. Step 3: Cross multiply
    20,296.96x = 30,449.44 × 7,158.56
  4. Step 4: Simplify right side
    20,296.96x = 217,974,143.21
  5. Step 5: Solve for x
    x = 217,974,143.21/20,296.96
  6. Step 6: Final answer
    x = 10,739.25

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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.