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Finding the Fourth Proportional to 13,675.19, 20,512.78 and 3,286.94

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Solution

The fourth proportional to 13,675.19, 20,512.78 and 3,286.94 is: 4,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.19 : 20,512.78 = 3,286.94 : x
  2. Step 2: Convert to fraction form
    13,675.19/20,512.78 = 3,286.94/x
  3. Step 3: Cross multiply
    13,675.19x = 20,512.78 × 3,286.94
  4. Step 4: Simplify right side
    13,675.19x = 67,424,277.09
  5. Step 5: Solve for x
    x = 67,424,277.09/13,675.19
  6. Step 6: Final answer
    x = 4,930.41

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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.