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Finding the Fourth Proportional to 20,504.68, 30,757.32 and 6,464.44

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Solution

The fourth proportional to 20,504.68, 30,757.32 and 6,464.44 is: 9,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.68 : 30,757.32 = 6,464.44 : x
  2. Step 2: Convert to fraction form
    20,504.68/30,757.32 = 6,464.44/x
  3. Step 3: Cross multiply
    20,504.68x = 30,757.32 × 6,464.44
  4. Step 4: Simplify right side
    20,504.68x = 198,828,849.70
  5. Step 5: Solve for x
    x = 198,828,849.70/20,504.68
  6. Step 6: Final answer
    x = 9,696.75

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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.