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Finding the Fourth Proportional to 12,497.57, 17,239.82 and 8,016.33

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Solution

The fourth proportional to 12,497.57, 17,239.82 and 8,016.33 is: 11,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.57 : 17,239.82 = 8,016.33 : x
  2. Step 2: Convert to fraction form
    12,497.57/17,239.82 = 8,016.33/x
  3. Step 3: Cross multiply
    12,497.57x = 17,239.82 × 8,016.33
  4. Step 4: Simplify right side
    12,497.57x = 138,200,046.18
  5. Step 5: Solve for x
    x = 138,200,046.18/12,497.57
  6. Step 6: Final answer
    x = 11,058.16

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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.