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Finding the Fourth Proportional to 21,105.24, 31,657.62 and 8,793.24

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Solution

The fourth proportional to 21,105.24, 31,657.62 and 8,793.24 is: 13,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.24 : 31,657.62 = 8,793.24 : x
  2. Step 2: Convert to fraction form
    21,105.24/31,657.62 = 8,793.24/x
  3. Step 3: Cross multiply
    21,105.24x = 31,657.62 × 8,793.24
  4. Step 4: Simplify right side
    21,105.24x = 278,373,050.49
  5. Step 5: Solve for x
    x = 278,373,050.49/21,105.24
  6. Step 6: Final answer
    x = 13,189.76

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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.