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Finding the Fourth Proportional to 24,399.92, 36,583.32 and 7,754.96

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Solution

The fourth proportional to 24,399.92, 36,583.32 and 7,754.96 is: 11,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.92 : 36,583.32 = 7,754.96 : x
  2. Step 2: Convert to fraction form
    24,399.92/36,583.32 = 7,754.96/x
  3. Step 3: Cross multiply
    24,399.92x = 36,583.32 × 7,754.96
  4. Step 4: Simplify right side
    24,399.92x = 283,702,183.27
  5. Step 5: Solve for x
    x = 283,702,183.27/24,399.92
  6. Step 6: Final answer
    x = 11,627.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.