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Finding the Fourth Proportional to 12,834.87, 17,706.03 and 8,052.45

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Solution

The fourth proportional to 12,834.87, 17,706.03 and 8,052.45 is: 11,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.87 : 17,706.03 = 8,052.45 : x
  2. Step 2: Convert to fraction form
    12,834.87/17,706.03 = 8,052.45/x
  3. Step 3: Cross multiply
    12,834.87x = 17,706.03 × 8,052.45
  4. Step 4: Simplify right side
    12,834.87x = 142,576,921.27
  5. Step 5: Solve for x
    x = 142,576,921.27/12,834.87
  6. Step 6: Final answer
    x = 11,108.56

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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.