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Finding the Fourth Proportional to 12,191.40, 18,287.78 and 3,425.63

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Solution

The fourth proportional to 12,191.40, 18,287.78 and 3,425.63 is: 5,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.40 : 18,287.78 = 3,425.63 : x
  2. Step 2: Convert to fraction form
    12,191.40/18,287.78 = 3,425.63/x
  3. Step 3: Cross multiply
    12,191.40x = 18,287.78 × 3,425.63
  4. Step 4: Simplify right side
    12,191.40x = 62,647,167.80
  5. Step 5: Solve for x
    x = 62,647,167.80/12,191.40
  6. Step 6: Final answer
    x = 5,138.64

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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.