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Finding the Fourth Proportional to 20,728.46, 31,093.74 and 5,939.54

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Solution

The fourth proportional to 20,728.46, 31,093.74 and 5,939.54 is: 8,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.46 : 31,093.74 = 5,939.54 : x
  2. Step 2: Convert to fraction form
    20,728.46/31,093.74 = 5,939.54/x
  3. Step 3: Cross multiply
    20,728.46x = 31,093.74 × 5,939.54
  4. Step 4: Simplify right side
    20,728.46x = 184,682,590.21
  5. Step 5: Solve for x
    x = 184,682,590.21/20,728.46
  6. Step 6: Final answer
    x = 8,909.62

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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.