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Finding the Fourth Proportional to 11,917.50, 17,876.25 and 8,165.58

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Solution

The fourth proportional to 11,917.50, 17,876.25 and 8,165.58 is: 12,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.50 : 17,876.25 = 8,165.58 : x
  2. Step 2: Convert to fraction form
    11,917.50/17,876.25 = 8,165.58/x
  3. Step 3: Cross multiply
    11,917.50x = 17,876.25 × 8,165.58
  4. Step 4: Simplify right side
    11,917.50x = 145,969,949.48
  5. Step 5: Solve for x
    x = 145,969,949.48/11,917.50
  6. Step 6: Final answer
    x = 12,248.37

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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.