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Finding the Fourth Proportional to 12,910.28, 17,819.02 and 8,193.64

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Solution

The fourth proportional to 12,910.28, 17,819.02 and 8,193.64 is: 11,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.28 : 17,819.02 = 8,193.64 : x
  2. Step 2: Convert to fraction form
    12,910.28/17,819.02 = 8,193.64/x
  3. Step 3: Cross multiply
    12,910.28x = 17,819.02 × 8,193.64
  4. Step 4: Simplify right side
    12,910.28x = 146,002,635.03
  5. Step 5: Solve for x
    x = 146,002,635.03/12,910.28
  6. Step 6: Final answer
    x = 11,309.02

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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.