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Finding the Fourth Proportional to 13,805.14, 20,704.23 and 3,944.47

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Solution

The fourth proportional to 13,805.14, 20,704.23 and 3,944.47 is: 5,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.14 : 20,704.23 = 3,944.47 : x
  2. Step 2: Convert to fraction form
    13,805.14/20,704.23 = 3,944.47/x
  3. Step 3: Cross multiply
    13,805.14x = 20,704.23 × 3,944.47
  4. Step 4: Simplify right side
    13,805.14x = 81,667,214.11
  5. Step 5: Solve for x
    x = 81,667,214.11/13,805.14
  6. Step 6: Final answer
    x = 5,915.71

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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.