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Finding the Fourth Proportional to 12,010.68, 16,576.14 and 6,706.20

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Solution

The fourth proportional to 12,010.68, 16,576.14 and 6,706.20 is: 9,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.68 : 16,576.14 = 6,706.20 : x
  2. Step 2: Convert to fraction form
    12,010.68/16,576.14 = 6,706.20/x
  3. Step 3: Cross multiply
    12,010.68x = 16,576.14 × 6,706.20
  4. Step 4: Simplify right side
    12,010.68x = 111,162,910.07
  5. Step 5: Solve for x
    x = 111,162,910.07/12,010.68
  6. Step 6: Final answer
    x = 9,255.34

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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.