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Finding the Fourth Proportional to 12,371.31, 17,072.46 and 6,706.14

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Solution

The fourth proportional to 12,371.31, 17,072.46 and 6,706.14 is: 9,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.31 : 17,072.46 = 6,706.14 : x
  2. Step 2: Convert to fraction form
    12,371.31/17,072.46 = 6,706.14/x
  3. Step 3: Cross multiply
    12,371.31x = 17,072.46 × 6,706.14
  4. Step 4: Simplify right side
    12,371.31x = 114,490,306.90
  5. Step 5: Solve for x
    x = 114,490,306.90/12,371.31
  6. Step 6: Final answer
    x = 9,254.50

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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.