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Finding the Fourth Proportional to 16,500.92, 22,771.37 and 8,947.28

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Solution

The fourth proportional to 16,500.92, 22,771.37 and 8,947.28 is: 12,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.92 : 22,771.37 = 8,947.28 : x
  2. Step 2: Convert to fraction form
    16,500.92/22,771.37 = 8,947.28/x
  3. Step 3: Cross multiply
    16,500.92x = 22,771.37 × 8,947.28
  4. Step 4: Simplify right side
    16,500.92x = 203,741,902.67
  5. Step 5: Solve for x
    x = 203,741,902.67/16,500.92
  6. Step 6: Final answer
    x = 12,347.31

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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.