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Finding the Fourth Proportional to 27,893.82, 41,832.09 and 9,421.50

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Solution

The fourth proportional to 27,893.82, 41,832.09 and 9,421.50 is: 14,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.82 : 41,832.09 = 9,421.50 : x
  2. Step 2: Convert to fraction form
    27,893.82/41,832.09 = 9,421.50/x
  3. Step 3: Cross multiply
    27,893.82x = 41,832.09 × 9,421.50
  4. Step 4: Simplify right side
    27,893.82x = 394,121,035.94
  5. Step 5: Solve for x
    x = 394,121,035.94/27,893.82
  6. Step 6: Final answer
    x = 14,129.33

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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.