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Finding the Fourth Proportional to 13,198.11, 19,797.18 and 11,131.41

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Solution

The fourth proportional to 13,198.11, 19,797.18 and 11,131.41 is: 16,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.11 : 19,797.18 = 11,131.41 : x
  2. Step 2: Convert to fraction form
    13,198.11/19,797.18 = 11,131.41/x
  3. Step 3: Cross multiply
    13,198.11x = 19,797.18 × 11,131.41
  4. Step 4: Simplify right side
    13,198.11x = 220,370,527.42
  5. Step 5: Solve for x
    x = 220,370,527.42/13,198.11
  6. Step 6: Final answer
    x = 16,697.13

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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.