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Finding the Fourth Proportional to 12,653.36, 17,469.09 and 8,680.31

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Solution

The fourth proportional to 12,653.36, 17,469.09 and 8,680.31 is: 11,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.36 : 17,469.09 = 8,680.31 : x
  2. Step 2: Convert to fraction form
    12,653.36/17,469.09 = 8,680.31/x
  3. Step 3: Cross multiply
    12,653.36x = 17,469.09 × 8,680.31
  4. Step 4: Simplify right side
    12,653.36x = 151,637,029.27
  5. Step 5: Solve for x
    x = 151,637,029.27/12,653.36
  6. Step 6: Final answer
    x = 11,983.94

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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.