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Finding the Fourth Proportional to 11,243.88, 16,836.39 and 9,832.05

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Solution

The fourth proportional to 11,243.88, 16,836.39 and 9,832.05 is: 14,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.88 : 16,836.39 = 9,832.05 : x
  2. Step 2: Convert to fraction form
    11,243.88/16,836.39 = 9,832.05/x
  3. Step 3: Cross multiply
    11,243.88x = 16,836.39 × 9,832.05
  4. Step 4: Simplify right side
    11,243.88x = 165,536,228.30
  5. Step 5: Solve for x
    x = 165,536,228.30/11,243.88
  6. Step 6: Final answer
    x = 14,722.34

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Why These Related Problems?

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