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Finding the Fourth Proportional to 12,371.67, 17,072.87 and 6,706.44

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Solution

The fourth proportional to 12,371.67, 17,072.87 and 6,706.44 is: 9,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.67 : 17,072.87 = 6,706.44 : x
  2. Step 2: Convert to fraction form
    12,371.67/17,072.87 = 6,706.44/x
  3. Step 3: Cross multiply
    12,371.67x = 17,072.87 × 6,706.44
  4. Step 4: Simplify right side
    12,371.67x = 114,498,144.75
  5. Step 5: Solve for x
    x = 114,498,144.75/12,371.67
  6. Step 6: Final answer
    x = 9,254.87

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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.