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Finding the Fourth Proportional to 10,230.31, 14,131.73 and 8,020.09

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Solution

The fourth proportional to 10,230.31, 14,131.73 and 8,020.09 is: 11,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.31 : 14,131.73 = 8,020.09 : x
  2. Step 2: Convert to fraction form
    10,230.31/14,131.73 = 8,020.09/x
  3. Step 3: Cross multiply
    10,230.31x = 14,131.73 × 8,020.09
  4. Step 4: Simplify right side
    10,230.31x = 113,337,706.36
  5. Step 5: Solve for x
    x = 113,337,706.36/10,230.31
  6. Step 6: Final answer
    x = 11,078.62

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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.