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Finding the Fourth Proportional to 20,094.36, 27,728.87 and 11,596.84

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Solution

The fourth proportional to 20,094.36, 27,728.87 and 11,596.84 is: 16,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.36 : 27,728.87 = 11,596.84 : x
  2. Step 2: Convert to fraction form
    20,094.36/27,728.87 = 11,596.84/x
  3. Step 3: Cross multiply
    20,094.36x = 27,728.87 × 11,596.84
  4. Step 4: Simplify right side
    20,094.36x = 321,567,141.46
  5. Step 5: Solve for x
    x = 321,567,141.46/20,094.36
  6. Step 6: Final answer
    x = 16,002.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.