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Finding the Fourth Proportional to 20,634.39, 30,956.24 and 7,486.74

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Solution

The fourth proportional to 20,634.39, 30,956.24 and 7,486.74 is: 11,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.39 : 30,956.24 = 7,486.74 : x
  2. Step 2: Convert to fraction form
    20,634.39/30,956.24 = 7,486.74/x
  3. Step 3: Cross multiply
    20,634.39x = 30,956.24 × 7,486.74
  4. Step 4: Simplify right side
    20,634.39x = 231,761,338.97
  5. Step 5: Solve for x
    x = 231,761,338.97/20,634.39
  6. Step 6: Final answer
    x = 11,231.80

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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.