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Finding the Fourth Proportional to 12,206.21, 18,304.62 and 5,879.98

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Solution

The fourth proportional to 12,206.21, 18,304.62 and 5,879.98 is: 8,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.21 : 18,304.62 = 5,879.98 : x
  2. Step 2: Convert to fraction form
    12,206.21/18,304.62 = 5,879.98/x
  3. Step 3: Cross multiply
    12,206.21x = 18,304.62 × 5,879.98
  4. Step 4: Simplify right side
    12,206.21x = 107,630,775.80
  5. Step 5: Solve for x
    x = 107,630,775.80/12,206.21
  6. Step 6: Final answer
    x = 8,817.71

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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.