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Finding the Fourth Proportional to 11,817.28, 17,697.12 and 8,338.24

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Solution

The fourth proportional to 11,817.28, 17,697.12 and 8,338.24 is: 12,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.28 : 17,697.12 = 8,338.24 : x
  2. Step 2: Convert to fraction form
    11,817.28/17,697.12 = 8,338.24/x
  3. Step 3: Cross multiply
    11,817.28x = 17,697.12 × 8,338.24
  4. Step 4: Simplify right side
    11,817.28x = 147,562,833.87
  5. Step 5: Solve for x
    x = 147,562,833.87/11,817.28
  6. Step 6: Final answer
    x = 12,487.04

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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.