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Finding the Fourth Proportional to 14,912.02, 20,578.53 and 8,198.07

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Solution

The fourth proportional to 14,912.02, 20,578.53 and 8,198.07 is: 11,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.02 : 20,578.53 = 8,198.07 : x
  2. Step 2: Convert to fraction form
    14,912.02/20,578.53 = 8,198.07/x
  3. Step 3: Cross multiply
    14,912.02x = 20,578.53 × 8,198.07
  4. Step 4: Simplify right side
    14,912.02x = 168,704,229.44
  5. Step 5: Solve for x
    x = 168,704,229.44/14,912.02
  6. Step 6: Final answer
    x = 11,313.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.