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Finding the Fourth Proportional to 13,200, 18,217.28 and 8,231.04

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Solution

The fourth proportional to 13,200, 18,217.28 and 8,231.04 is: 11,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 18,217.28 = 8,231.04 : x
  2. Step 2: Convert to fraction form
    13,200/18,217.28 = 8,231.04/x
  3. Step 3: Cross multiply
    13,200x = 18,217.28 × 8,231.04
  4. Step 4: Simplify right side
    13,200x = 149,947,160.37
  5. Step 5: Solve for x
    x = 149,947,160.37/13,200
  6. Step 6: Final answer
    x = 11,359.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.