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Finding the Fourth Proportional to 12,812.87, 17,682.17 and 7,147.33

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Solution

The fourth proportional to 12,812.87, 17,682.17 and 7,147.33 is: 9,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.87 : 17,682.17 = 7,147.33 : x
  2. Step 2: Convert to fraction form
    12,812.87/17,682.17 = 7,147.33/x
  3. Step 3: Cross multiply
    12,812.87x = 17,682.17 × 7,147.33
  4. Step 4: Simplify right side
    12,812.87x = 126,380,224.16
  5. Step 5: Solve for x
    x = 126,380,224.16/12,812.87
  6. Step 6: Final answer
    x = 9,863.54

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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.