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Finding the Fourth Proportional to 27,445.96, 41,168.74 and 7,724.38

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Solution

The fourth proportional to 27,445.96, 41,168.74 and 7,724.38 is: 11,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,445.96 : 41,168.74 = 7,724.38 : x
  2. Step 2: Convert to fraction form
    27,445.96/41,168.74 = 7,724.38/x
  3. Step 3: Cross multiply
    27,445.96x = 41,168.74 × 7,724.38
  4. Step 4: Simplify right side
    27,445.96x = 318,002,991.88
  5. Step 5: Solve for x
    x = 318,002,991.88/27,445.96
  6. Step 6: Final answer
    x = 11,586.51

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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.