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Finding the Fourth Proportional to 11,967.36, 17,942.06 and 8,259

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Solution

The fourth proportional to 11,967.36, 17,942.06 and 8,259 is: 12,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.36 : 17,942.06 = 8,259 : x
  2. Step 2: Convert to fraction form
    11,967.36/17,942.06 = 8,259/x
  3. Step 3: Cross multiply
    11,967.36x = 17,942.06 × 8,259
  4. Step 4: Simplify right side
    11,967.36x = 148,183,473.54
  5. Step 5: Solve for x
    x = 148,183,473.54/11,967.36
  6. Step 6: Final answer
    x = 12,382.30

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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.