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Finding the Fourth Proportional to 16,198.60, 24,297.90 and 6,338.20

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Solution

The fourth proportional to 16,198.60, 24,297.90 and 6,338.20 is: 9,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.60 : 24,297.90 = 6,338.20 : x
  2. Step 2: Convert to fraction form
    16,198.60/24,297.90 = 6,338.20/x
  3. Step 3: Cross multiply
    16,198.60x = 24,297.90 × 6,338.20
  4. Step 4: Simplify right side
    16,198.60x = 154,004,949.78
  5. Step 5: Solve for x
    x = 154,004,949.78/16,198.60
  6. Step 6: Final answer
    x = 9,507.30

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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.