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Finding the Fourth Proportional to 20,642.42, 30,952.69 and 8,161.94

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Solution

The fourth proportional to 20,642.42, 30,952.69 and 8,161.94 is: 12,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.42 : 30,952.69 = 8,161.94 : x
  2. Step 2: Convert to fraction form
    20,642.42/30,952.69 = 8,161.94/x
  3. Step 3: Cross multiply
    20,642.42x = 30,952.69 × 8,161.94
  4. Step 4: Simplify right side
    20,642.42x = 252,633,998.62
  5. Step 5: Solve for x
    x = 252,633,998.62/20,642.42
  6. Step 6: Final answer
    x = 12,238.58

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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.