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Finding the Fourth Proportional to 27,821.34, 41,736.11 and 8,097.30

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Solution

The fourth proportional to 27,821.34, 41,736.11 and 8,097.30 is: 12,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.34 : 41,736.11 = 8,097.30 : x
  2. Step 2: Convert to fraction form
    27,821.34/41,736.11 = 8,097.30/x
  3. Step 3: Cross multiply
    27,821.34x = 41,736.11 × 8,097.30
  4. Step 4: Simplify right side
    27,821.34x = 337,949,763.02
  5. Step 5: Solve for x
    x = 337,949,763.02/27,821.34
  6. Step 6: Final answer
    x = 12,147.14

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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.