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Finding the Fourth Proportional to 13,942, 20,912.40 and 3,553.44

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Solution

The fourth proportional to 13,942, 20,912.40 and 3,553.44 is: 5,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942 : 20,912.40 = 3,553.44 : x
  2. Step 2: Convert to fraction form
    13,942/20,912.40 = 3,553.44/x
  3. Step 3: Cross multiply
    13,942x = 20,912.40 × 3,553.44
  4. Step 4: Simplify right side
    13,942x = 74,310,958.66
  5. Step 5: Solve for x
    x = 74,310,958.66/13,942
  6. Step 6: Final answer
    x = 5,330.01

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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.