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Finding the Fourth Proportional to 12,324.08, 17,002.09 and 8,076.17

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Solution

The fourth proportional to 12,324.08, 17,002.09 and 8,076.17 is: 11,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.08 : 17,002.09 = 8,076.17 : x
  2. Step 2: Convert to fraction form
    12,324.08/17,002.09 = 8,076.17/x
  3. Step 3: Cross multiply
    12,324.08x = 17,002.09 × 8,076.17
  4. Step 4: Simplify right side
    12,324.08x = 137,311,769.20
  5. Step 5: Solve for x
    x = 137,311,769.20/12,324.08
  6. Step 6: Final answer
    x = 11,141.75

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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.