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Finding the Fourth Proportional to 12,105.26, 16,706.94 and 6,800.48

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Solution

The fourth proportional to 12,105.26, 16,706.94 and 6,800.48 is: 9,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.26 : 16,706.94 = 6,800.48 : x
  2. Step 2: Convert to fraction form
    12,105.26/16,706.94 = 6,800.48/x
  3. Step 3: Cross multiply
    12,105.26x = 16,706.94 × 6,800.48
  4. Step 4: Simplify right side
    12,105.26x = 113,615,211.33
  5. Step 5: Solve for x
    x = 113,615,211.33/12,105.26
  6. Step 6: Final answer
    x = 9,385.61

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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.