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Finding the Fourth Proportional to 12,871.46, 17,651.78 and 12,197.54

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Solution

The fourth proportional to 12,871.46, 17,651.78 and 12,197.54 is: 16,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.46 : 17,651.78 = 12,197.54 : x
  2. Step 2: Convert to fraction form
    12,871.46/17,651.78 = 12,197.54/x
  3. Step 3: Cross multiply
    12,871.46x = 17,651.78 × 12,197.54
  4. Step 4: Simplify right side
    12,871.46x = 215,308,292.62
  5. Step 5: Solve for x
    x = 215,308,292.62/12,871.46
  6. Step 6: Final answer
    x = 16,727.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.