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Finding the Fourth Proportional to 20,504.48, 30,757.94 and 6,464.96

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Solution

The fourth proportional to 20,504.48, 30,757.94 and 6,464.96 is: 9,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.48 : 30,757.94 = 6,464.96 : x
  2. Step 2: Convert to fraction form
    20,504.48/30,757.94 = 6,464.96/x
  3. Step 3: Cross multiply
    20,504.48x = 30,757.94 × 6,464.96
  4. Step 4: Simplify right side
    20,504.48x = 198,848,665.67
  5. Step 5: Solve for x
    x = 198,848,665.67/20,504.48
  6. Step 6: Final answer
    x = 9,697.82

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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.