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Finding the Fourth Proportional to 13,487.40, 20,198.70 and 6,553.80

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Solution

The fourth proportional to 13,487.40, 20,198.70 and 6,553.80 is: 9,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.40 : 20,198.70 = 6,553.80 : x
  2. Step 2: Convert to fraction form
    13,487.40/20,198.70 = 6,553.80/x
  3. Step 3: Cross multiply
    13,487.40x = 20,198.70 × 6,553.80
  4. Step 4: Simplify right side
    13,487.40x = 132,378,240.06
  5. Step 5: Solve for x
    x = 132,378,240.06/13,487.40
  6. Step 6: Final answer
    x = 9,814.96

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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.