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Finding the Fourth Proportional to 17,744.46, 24,489.09 and 13,260.43

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Solution

The fourth proportional to 17,744.46, 24,489.09 and 13,260.43 is: 18,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.46 : 24,489.09 = 13,260.43 : x
  2. Step 2: Convert to fraction form
    17,744.46/24,489.09 = 13,260.43/x
  3. Step 3: Cross multiply
    17,744.46x = 24,489.09 × 13,260.43
  4. Step 4: Simplify right side
    17,744.46x = 324,735,674.96
  5. Step 5: Solve for x
    x = 324,735,674.96/17,744.46
  6. Step 6: Final answer
    x = 18,300.68

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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.