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Finding the Fourth Proportional to 20,524.62, 30,791.10 and 6,486.84

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Solution

The fourth proportional to 20,524.62, 30,791.10 and 6,486.84 is: 9,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.62 : 30,791.10 = 6,486.84 : x
  2. Step 2: Convert to fraction form
    20,524.62/30,791.10 = 6,486.84/x
  3. Step 3: Cross multiply
    20,524.62x = 30,791.10 × 6,486.84
  4. Step 4: Simplify right side
    20,524.62x = 199,736,939.12
  5. Step 5: Solve for x
    x = 199,736,939.12/20,524.62
  6. Step 6: Final answer
    x = 9,731.58

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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.