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Finding the Fourth Proportional to 13,496.70, 20,201.82 and 7,241.34

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Solution

The fourth proportional to 13,496.70, 20,201.82 and 7,241.34 is: 10,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.70 : 20,201.82 = 7,241.34 : x
  2. Step 2: Convert to fraction form
    13,496.70/20,201.82 = 7,241.34/x
  3. Step 3: Cross multiply
    13,496.70x = 20,201.82 × 7,241.34
  4. Step 4: Simplify right side
    13,496.70x = 146,288,247.24
  5. Step 5: Solve for x
    x = 146,288,247.24/13,496.70
  6. Step 6: Final answer
    x = 10,838.82

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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.