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Finding the Fourth Proportional to 20,198.49, 30,297.75 and 9,666.03

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Solution

The fourth proportional to 20,198.49, 30,297.75 and 9,666.03 is: 14,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.49 : 30,297.75 = 9,666.03 : x
  2. Step 2: Convert to fraction form
    20,198.49/30,297.75 = 9,666.03/x
  3. Step 3: Cross multiply
    20,198.49x = 30,297.75 × 9,666.03
  4. Step 4: Simplify right side
    20,198.49x = 292,859,037.80
  5. Step 5: Solve for x
    x = 292,859,037.80/20,198.49
  6. Step 6: Final answer
    x = 14,499.06

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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.