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Finding the Fourth Proportional to 13,960.67, 20,942.13 and 3,965.51

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Solution

The fourth proportional to 13,960.67, 20,942.13 and 3,965.51 is: 5,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.67 : 20,942.13 = 3,965.51 : x
  2. Step 2: Convert to fraction form
    13,960.67/20,942.13 = 3,965.51/x
  3. Step 3: Cross multiply
    13,960.67x = 20,942.13 × 3,965.51
  4. Step 4: Simplify right side
    13,960.67x = 83,046,121.23
  5. Step 5: Solve for x
    x = 83,046,121.23/13,960.67
  6. Step 6: Final answer
    x = 5,948.58

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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.