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Finding the Fourth Proportional to 27,199.36, 40,795.20 and 8,728.96

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Solution

The fourth proportional to 27,199.36, 40,795.20 and 8,728.96 is: 13,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.36 : 40,795.20 = 8,728.96 : x
  2. Step 2: Convert to fraction form
    27,199.36/40,795.20 = 8,728.96/x
  3. Step 3: Cross multiply
    27,199.36x = 40,795.20 × 8,728.96
  4. Step 4: Simplify right side
    27,199.36x = 356,099,668.99
  5. Step 5: Solve for x
    x = 356,099,668.99/27,199.36
  6. Step 6: Final answer
    x = 13,092.21

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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.