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Finding the Fourth Proportional to 27,200.36, 40,796.70 and 8,729.96

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Solution

The fourth proportional to 27,200.36, 40,796.70 and 8,729.96 is: 13,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.36 : 40,796.70 = 8,729.96 : x
  2. Step 2: Convert to fraction form
    27,200.36/40,796.70 = 8,729.96/x
  3. Step 3: Cross multiply
    27,200.36x = 40,796.70 × 8,729.96
  4. Step 4: Simplify right side
    27,200.36x = 356,153,559.13
  5. Step 5: Solve for x
    x = 356,153,559.13/27,200.36
  6. Step 6: Final answer
    x = 13,093.71

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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.