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Finding the Fourth Proportional to 11,638.36, 17,479.92 and 9,976.24

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Solution

The fourth proportional to 11,638.36, 17,479.92 and 9,976.24 is: 14,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.36 : 17,479.92 = 9,976.24 : x
  2. Step 2: Convert to fraction form
    11,638.36/17,479.92 = 9,976.24/x
  3. Step 3: Cross multiply
    11,638.36x = 17,479.92 × 9,976.24
  4. Step 4: Simplify right side
    11,638.36x = 174,383,877.10
  5. Step 5: Solve for x
    x = 174,383,877.10/11,638.36
  6. Step 6: Final answer
    x = 14,983.54

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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.