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Finding the Fourth Proportional to 12,016.70, 16,581.61 and 6,982.48

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Solution

The fourth proportional to 12,016.70, 16,581.61 and 6,982.48 is: 9,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.70 : 16,581.61 = 6,982.48 : x
  2. Step 2: Convert to fraction form
    12,016.70/16,581.61 = 6,982.48/x
  3. Step 3: Cross multiply
    12,016.70x = 16,581.61 × 6,982.48
  4. Step 4: Simplify right side
    12,016.70x = 115,780,760.19
  5. Step 5: Solve for x
    x = 115,780,760.19/12,016.70
  6. Step 6: Final answer
    x = 9,634.99

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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.