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Finding the Fourth Proportional to 17,744.13, 24,486.42 and 9,785.82

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Solution

The fourth proportional to 17,744.13, 24,486.42 and 9,785.82 is: 13,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.13 : 24,486.42 = 9,785.82 : x
  2. Step 2: Convert to fraction form
    17,744.13/24,486.42 = 9,785.82/x
  3. Step 3: Cross multiply
    17,744.13x = 24,486.42 × 9,785.82
  4. Step 4: Simplify right side
    17,744.13x = 239,619,698.56
  5. Step 5: Solve for x
    x = 239,619,698.56/17,744.13
  6. Step 6: Final answer
    x = 13,504.17

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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.