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Finding the Fourth Proportional to 12,456.57, 17,185.76 and 7,982.79

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Solution

The fourth proportional to 12,456.57, 17,185.76 and 7,982.79 is: 11,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.57 : 17,185.76 = 7,982.79 : x
  2. Step 2: Convert to fraction form
    12,456.57/17,185.76 = 7,982.79/x
  3. Step 3: Cross multiply
    12,456.57x = 17,185.76 × 7,982.79
  4. Step 4: Simplify right side
    12,456.57x = 137,190,299.92
  5. Step 5: Solve for x
    x = 137,190,299.92/12,456.57
  6. Step 6: Final answer
    x = 11,013.49

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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.