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Finding the Fourth Proportional to 17,786.75, 24,546.21 and 9,829.48

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Solution

The fourth proportional to 17,786.75, 24,546.21 and 9,829.48 is: 13,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.75 : 24,546.21 = 9,829.48 : x
  2. Step 2: Convert to fraction form
    17,786.75/24,546.21 = 9,829.48/x
  3. Step 3: Cross multiply
    17,786.75x = 24,546.21 × 9,829.48
  4. Step 4: Simplify right side
    17,786.75x = 241,276,418.91
  5. Step 5: Solve for x
    x = 241,276,418.91/17,786.75
  6. Step 6: Final answer
    x = 13,564.95

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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.