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Finding the Fourth Proportional to 21,744.07, 32,608.92 and 8,410.88

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Solution

The fourth proportional to 21,744.07, 32,608.92 and 8,410.88 is: 12,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.07 : 32,608.92 = 8,410.88 : x
  2. Step 2: Convert to fraction form
    21,744.07/32,608.92 = 8,410.88/x
  3. Step 3: Cross multiply
    21,744.07x = 32,608.92 × 8,410.88
  4. Step 4: Simplify right side
    21,744.07x = 274,269,713.05
  5. Step 5: Solve for x
    x = 274,269,713.05/21,744.07
  6. Step 6: Final answer
    x = 12,613.54

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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.