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Finding the Fourth Proportional to 12,674.46, 17,494.50 and 8,198.40

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Solution

The fourth proportional to 12,674.46, 17,494.50 and 8,198.40 is: 11,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.46 : 17,494.50 = 8,198.40 : x
  2. Step 2: Convert to fraction form
    12,674.46/17,494.50 = 8,198.40/x
  3. Step 3: Cross multiply
    12,674.46x = 17,494.50 × 8,198.40
  4. Step 4: Simplify right side
    12,674.46x = 143,426,908.80
  5. Step 5: Solve for x
    x = 143,426,908.80/12,674.46
  6. Step 6: Final answer
    x = 11,316.21

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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.