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Finding the Fourth Proportional to 27,910.68, 41,871.77 and 9,191.82

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Solution

The fourth proportional to 27,910.68, 41,871.77 and 9,191.82 is: 13,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.68 : 41,871.77 = 9,191.82 : x
  2. Step 2: Convert to fraction form
    27,910.68/41,871.77 = 9,191.82/x
  3. Step 3: Cross multiply
    27,910.68x = 41,871.77 × 9,191.82
  4. Step 4: Simplify right side
    27,910.68x = 384,877,726.96
  5. Step 5: Solve for x
    x = 384,877,726.96/27,910.68
  6. Step 6: Final answer
    x = 13,789.62

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