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Finding the Fourth Proportional to 26,815.72, 40,229.34 and 8,097.16

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Solution

The fourth proportional to 26,815.72, 40,229.34 and 8,097.16 is: 12,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,815.72 : 40,229.34 = 8,097.16 : x
  2. Step 2: Convert to fraction form
    26,815.72/40,229.34 = 8,097.16/x
  3. Step 3: Cross multiply
    26,815.72x = 40,229.34 × 8,097.16
  4. Step 4: Simplify right side
    26,815.72x = 325,743,402.67
  5. Step 5: Solve for x
    x = 325,743,402.67/26,815.72
  6. Step 6: Final answer
    x = 12,147.48

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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.