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Finding the Fourth Proportional to 12,328.46, 18,491.97 and 3,563.18

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Solution

The fourth proportional to 12,328.46, 18,491.97 and 3,563.18 is: 5,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.46 : 18,491.97 = 3,563.18 : x
  2. Step 2: Convert to fraction form
    12,328.46/18,491.97 = 3,563.18/x
  3. Step 3: Cross multiply
    12,328.46x = 18,491.97 × 3,563.18
  4. Step 4: Simplify right side
    12,328.46x = 65,890,217.66
  5. Step 5: Solve for x
    x = 65,890,217.66/12,328.46
  6. Step 6: Final answer
    x = 5,344.56

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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.