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Finding the Fourth Proportional to 19,771.50, 27,286.14 and 11,273.84

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Solution

The fourth proportional to 19,771.50, 27,286.14 and 11,273.84 is: 15,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.50 : 27,286.14 = 11,273.84 : x
  2. Step 2: Convert to fraction form
    19,771.50/27,286.14 = 11,273.84/x
  3. Step 3: Cross multiply
    19,771.50x = 27,286.14 × 11,273.84
  4. Step 4: Simplify right side
    19,771.50x = 307,619,576.58
  5. Step 5: Solve for x
    x = 307,619,576.58/19,771.50
  6. Step 6: Final answer
    x = 15,558.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.