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Finding the Fourth Proportional to 12,199.82, 18,287.42 and 9,271.97

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Solution

The fourth proportional to 12,199.82, 18,287.42 and 9,271.97 is: 13,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.82 : 18,287.42 = 9,271.97 : x
  2. Step 2: Convert to fraction form
    12,199.82/18,287.42 = 9,271.97/x
  3. Step 3: Cross multiply
    12,199.82x = 18,287.42 × 9,271.97
  4. Step 4: Simplify right side
    12,199.82x = 169,560,392.55
  5. Step 5: Solve for x
    x = 169,560,392.55/12,199.82
  6. Step 6: Final answer
    x = 13,898.60

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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.