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Finding the Fourth Proportional to 11,827.54, 17,739.69 and 6,899.50

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Solution

The fourth proportional to 11,827.54, 17,739.69 and 6,899.50 is: 10,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.54 : 17,739.69 = 6,899.50 : x
  2. Step 2: Convert to fraction form
    11,827.54/17,739.69 = 6,899.50/x
  3. Step 3: Cross multiply
    11,827.54x = 17,739.69 × 6,899.50
  4. Step 4: Simplify right side
    11,827.54x = 122,394,991.16
  5. Step 5: Solve for x
    x = 122,394,991.16/11,827.54
  6. Step 6: Final answer
    x = 10,348.30

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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.