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Finding the Fourth Proportional to 12,191.98, 18,287.97 and 4,292.64

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Solution

The fourth proportional to 12,191.98, 18,287.97 and 4,292.64 is: 6,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.98 : 18,287.97 = 4,292.64 : x
  2. Step 2: Convert to fraction form
    12,191.98/18,287.97 = 4,292.64/x
  3. Step 3: Cross multiply
    12,191.98x = 18,287.97 × 4,292.64
  4. Step 4: Simplify right side
    12,191.98x = 78,503,671.54
  5. Step 5: Solve for x
    x = 78,503,671.54/12,191.98
  6. Step 6: Final answer
    x = 6,438.96

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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.