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Finding the Fourth Proportional to 17,744.32, 26,615.84 and 8,380.96

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Solution

The fourth proportional to 17,744.32, 26,615.84 and 8,380.96 is: 12,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.32 : 26,615.84 = 8,380.96 : x
  2. Step 2: Convert to fraction form
    17,744.32/26,615.84 = 8,380.96/x
  3. Step 3: Cross multiply
    17,744.32x = 26,615.84 × 8,380.96
  4. Step 4: Simplify right side
    17,744.32x = 223,066,290.41
  5. Step 5: Solve for x
    x = 223,066,290.41/17,744.32
  6. Step 6: Final answer
    x = 12,571.14

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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.