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Finding the Fourth Proportional to 12,197.67, 18,296.22 and 5,623.84

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Solution

The fourth proportional to 12,197.67, 18,296.22 and 5,623.84 is: 8,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.67 : 18,296.22 = 5,623.84 : x
  2. Step 2: Convert to fraction form
    12,197.67/18,296.22 = 5,623.84/x
  3. Step 3: Cross multiply
    12,197.67x = 18,296.22 × 5,623.84
  4. Step 4: Simplify right side
    12,197.67x = 102,895,013.88
  5. Step 5: Solve for x
    x = 102,895,013.88/12,197.67
  6. Step 6: Final answer
    x = 8,435.63

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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.