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Finding the Fourth Proportional to 12,197.41, 18,299.16 and 5,628.22

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Solution

The fourth proportional to 12,197.41, 18,299.16 and 5,628.22 is: 8,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.41 : 18,299.16 = 5,628.22 : x
  2. Step 2: Convert to fraction form
    12,197.41/18,299.16 = 5,628.22/x
  3. Step 3: Cross multiply
    12,197.41x = 18,299.16 × 5,628.22
  4. Step 4: Simplify right side
    12,197.41x = 102,991,652.55
  5. Step 5: Solve for x
    x = 102,991,652.55/12,197.41
  6. Step 6: Final answer
    x = 8,443.73

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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.