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Finding the Fourth Proportional to 11,730.30, 17,551.31 and 8,227.15

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Solution

The fourth proportional to 11,730.30, 17,551.31 and 8,227.15 is: 12,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.30 : 17,551.31 = 8,227.15 : x
  2. Step 2: Convert to fraction form
    11,730.30/17,551.31 = 8,227.15/x
  3. Step 3: Cross multiply
    11,730.30x = 17,551.31 × 8,227.15
  4. Step 4: Simplify right side
    11,730.30x = 144,397,175.05
  5. Step 5: Solve for x
    x = 144,397,175.05/11,730.30
  6. Step 6: Final answer
    x = 12,309.76

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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.