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Finding the Fourth Proportional to 17,744.96, 24,489.78 and 13,260.93

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Solution

The fourth proportional to 17,744.96, 24,489.78 and 13,260.93 is: 18,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.96 : 24,489.78 = 13,260.93 : x
  2. Step 2: Convert to fraction form
    17,744.96/24,489.78 = 13,260.93/x
  3. Step 3: Cross multiply
    17,744.96x = 24,489.78 × 13,260.93
  4. Step 4: Simplify right side
    17,744.96x = 324,757,258.30
  5. Step 5: Solve for x
    x = 324,757,258.30/17,744.96
  6. Step 6: Final answer
    x = 18,301.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.