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Finding the Fourth Proportional to 27,671.40, 41,494.68 and 7,945.56

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Solution

The fourth proportional to 27,671.40, 41,494.68 and 7,945.56 is: 11,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.40 : 41,494.68 = 7,945.56 : x
  2. Step 2: Convert to fraction form
    27,671.40/41,494.68 = 7,945.56/x
  3. Step 3: Cross multiply
    27,671.40x = 41,494.68 × 7,945.56
  4. Step 4: Simplify right side
    27,671.40x = 329,698,469.62
  5. Step 5: Solve for x
    x = 329,698,469.62/27,671.40
  6. Step 6: Final answer
    x = 11,914.77

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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.