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Finding the Fourth Proportional to 20,635.39, 30,934.72 and 8,942.23

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Solution

The fourth proportional to 20,635.39, 30,934.72 and 8,942.23 is: 13,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.39 : 30,934.72 = 8,942.23 : x
  2. Step 2: Convert to fraction form
    20,635.39/30,934.72 = 8,942.23/x
  3. Step 3: Cross multiply
    20,635.39x = 30,934.72 × 8,942.23
  4. Step 4: Simplify right side
    20,635.39x = 276,625,181.84
  5. Step 5: Solve for x
    x = 276,625,181.84/20,635.39
  6. Step 6: Final answer
    x = 13,405.38

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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.