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Finding the Fourth Proportional to 12,016.56, 16,581.78 and 6,711.24

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Solution

The fourth proportional to 12,016.56, 16,581.78 and 6,711.24 is: 9,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.56 : 16,581.78 = 6,711.24 : x
  2. Step 2: Convert to fraction form
    12,016.56/16,581.78 = 6,711.24/x
  3. Step 3: Cross multiply
    12,016.56x = 16,581.78 × 6,711.24
  4. Step 4: Simplify right side
    12,016.56x = 111,284,305.21
  5. Step 5: Solve for x
    x = 111,284,305.21/12,016.56
  6. Step 6: Final answer
    x = 9,260.91

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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.