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Finding the Fourth Proportional to 11,899.80, 17,832.60 and 6,694.68

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Solution

The fourth proportional to 11,899.80, 17,832.60 and 6,694.68 is: 10,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.80 : 17,832.60 = 6,694.68 : x
  2. Step 2: Convert to fraction form
    11,899.80/17,832.60 = 6,694.68/x
  3. Step 3: Cross multiply
    11,899.80x = 17,832.60 × 6,694.68
  4. Step 4: Simplify right side
    11,899.80x = 119,383,550.57
  5. Step 5: Solve for x
    x = 119,383,550.57/11,899.80
  6. Step 6: Final answer
    x = 10,032.40

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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.