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Finding the Fourth Proportional to 12,812.57, 17,682.56 and 8,033.27

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Solution

The fourth proportional to 12,812.57, 17,682.56 and 8,033.27 is: 11,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.57 : 17,682.56 = 8,033.27 : x
  2. Step 2: Convert to fraction form
    12,812.57/17,682.56 = 8,033.27/x
  3. Step 3: Cross multiply
    12,812.57x = 17,682.56 × 8,033.27
  4. Step 4: Simplify right side
    12,812.57x = 142,048,650.19
  5. Step 5: Solve for x
    x = 142,048,650.19/12,812.57
  6. Step 6: Final answer
    x = 11,086.67

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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.