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Finding the Fourth Proportional to 20,245.92, 27,940.32 and 12,288.96

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Solution

The fourth proportional to 20,245.92, 27,940.32 and 12,288.96 is: 16,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.92 : 27,940.32 = 12,288.96 : x
  2. Step 2: Convert to fraction form
    20,245.92/27,940.32 = 12,288.96/x
  3. Step 3: Cross multiply
    20,245.92x = 27,940.32 × 12,288.96
  4. Step 4: Simplify right side
    20,245.92x = 343,357,474.87
  5. Step 5: Solve for x
    x = 343,357,474.87/20,245.92
  6. Step 6: Final answer
    x = 16,959.34

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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.