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Finding the Fourth Proportional to 13,200.50, 18,201.76 and 8,414.06

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Solution

The fourth proportional to 13,200.50, 18,201.76 and 8,414.06 is: 11,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.50 : 18,201.76 = 8,414.06 : x
  2. Step 2: Convert to fraction form
    13,200.50/18,201.76 = 8,414.06/x
  3. Step 3: Cross multiply
    13,200.50x = 18,201.76 × 8,414.06
  4. Step 4: Simplify right side
    13,200.50x = 153,150,588.70
  5. Step 5: Solve for x
    x = 153,150,588.70/13,200.50
  6. Step 6: Final answer
    x = 11,601.88

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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.