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Finding the Fourth Proportional to 12,837.31, 17,714.33 and 7,171.27

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Solution

The fourth proportional to 12,837.31, 17,714.33 and 7,171.27 is: 9,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.31 : 17,714.33 = 7,171.27 : x
  2. Step 2: Convert to fraction form
    12,837.31/17,714.33 = 7,171.27/x
  3. Step 3: Cross multiply
    12,837.31x = 17,714.33 × 7,171.27
  4. Step 4: Simplify right side
    12,837.31x = 127,034,243.30
  5. Step 5: Solve for x
    x = 127,034,243.30/12,837.31
  6. Step 6: Final answer
    x = 9,895.71

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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.