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Finding the Fourth Proportional to 27,542.60, 41,313.90 and 7,821.80

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Solution

The fourth proportional to 27,542.60, 41,313.90 and 7,821.80 is: 11,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.60 : 41,313.90 = 7,821.80 : x
  2. Step 2: Convert to fraction form
    27,542.60/41,313.90 = 7,821.80/x
  3. Step 3: Cross multiply
    27,542.60x = 41,313.90 × 7,821.80
  4. Step 4: Simplify right side
    27,542.60x = 323,149,063.02
  5. Step 5: Solve for x
    x = 323,149,063.02/27,542.60
  6. Step 6: Final answer
    x = 11,732.70

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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.