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Finding the Fourth Proportional to 13,824.06, 20,733.02 and 3,961.14

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Solution

The fourth proportional to 13,824.06, 20,733.02 and 3,961.14 is: 5,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.06 : 20,733.02 = 3,961.14 : x
  2. Step 2: Convert to fraction form
    13,824.06/20,733.02 = 3,961.14/x
  3. Step 3: Cross multiply
    13,824.06x = 20,733.02 × 3,961.14
  4. Step 4: Simplify right side
    13,824.06x = 82,126,394.84
  5. Step 5: Solve for x
    x = 82,126,394.84/13,824.06
  6. Step 6: Final answer
    x = 5,940.83

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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.