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Finding the Fourth Proportional to 12,191.21, 18,274.91 and 5,950.97

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Solution

The fourth proportional to 12,191.21, 18,274.91 and 5,950.97 is: 8,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.21 : 18,274.91 = 5,950.97 : x
  2. Step 2: Convert to fraction form
    12,191.21/18,274.91 = 5,950.97/x
  3. Step 3: Cross multiply
    12,191.21x = 18,274.91 × 5,950.97
  4. Step 4: Simplify right side
    12,191.21x = 108,753,441.16
  5. Step 5: Solve for x
    x = 108,753,441.16/12,191.21
  6. Step 6: Final answer
    x = 8,920.64

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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.