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Finding the Fourth Proportional to 17,744.22, 24,487.14 and 9,786.66

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Solution

The fourth proportional to 17,744.22, 24,487.14 and 9,786.66 is: 13,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.22 : 24,487.14 = 9,786.66 : x
  2. Step 2: Convert to fraction form
    17,744.22/24,487.14 = 9,786.66/x
  3. Step 3: Cross multiply
    17,744.22x = 24,487.14 × 9,786.66
  4. Step 4: Simplify right side
    17,744.22x = 239,647,313.55
  5. Step 5: Solve for x
    x = 239,647,313.55/17,744.22
  6. Step 6: Final answer
    x = 13,505.65

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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.