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Finding the Fourth Proportional to 12,224.67, 18,340.94 and 5,563.55

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Solution

The fourth proportional to 12,224.67, 18,340.94 and 5,563.55 is: 8,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.67 : 18,340.94 = 5,563.55 : x
  2. Step 2: Convert to fraction form
    12,224.67/18,340.94 = 5,563.55/x
  3. Step 3: Cross multiply
    12,224.67x = 18,340.94 × 5,563.55
  4. Step 4: Simplify right side
    12,224.67x = 102,040,706.86
  5. Step 5: Solve for x
    x = 102,040,706.86/12,224.67
  6. Step 6: Final answer
    x = 8,347.12

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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.