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Finding the Fourth Proportional to 27,890.41, 41,833.49 and 9,171.06

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Solution

The fourth proportional to 27,890.41, 41,833.49 and 9,171.06 is: 13,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890.41 : 41,833.49 = 9,171.06 : x
  2. Step 2: Convert to fraction form
    27,890.41/41,833.49 = 9,171.06/x
  3. Step 3: Cross multiply
    27,890.41x = 41,833.49 × 9,171.06
  4. Step 4: Simplify right side
    27,890.41x = 383,657,446.80
  5. Step 5: Solve for x
    x = 383,657,446.80/27,890.41
  6. Step 6: Final answer
    x = 13,755.89

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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.