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Finding the Fourth Proportional to 11,867.67, 17,769.07 and 8,539.23

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Solution

The fourth proportional to 11,867.67, 17,769.07 and 8,539.23 is: 12,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.67 : 17,769.07 = 8,539.23 : x
  2. Step 2: Convert to fraction form
    11,867.67/17,769.07 = 8,539.23/x
  3. Step 3: Cross multiply
    11,867.67x = 17,769.07 × 8,539.23
  4. Step 4: Simplify right side
    11,867.67x = 151,734,252.92
  5. Step 5: Solve for x
    x = 151,734,252.92/11,867.67
  6. Step 6: Final answer
    x = 12,785.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.