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Finding the Fourth Proportional to 20,902.92, 28,845.38 and 11,471.24

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Solution

The fourth proportional to 20,902.92, 28,845.38 and 11,471.24 is: 15,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.92 : 28,845.38 = 11,471.24 : x
  2. Step 2: Convert to fraction form
    20,902.92/28,845.38 = 11,471.24/x
  3. Step 3: Cross multiply
    20,902.92x = 28,845.38 × 11,471.24
  4. Step 4: Simplify right side
    20,902.92x = 330,892,276.87
  5. Step 5: Solve for x
    x = 330,892,276.87/20,902.92
  6. Step 6: Final answer
    x = 15,829.95

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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.