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Finding the Fourth Proportional to 17,786.93, 24,544.71 and 9,829.44

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Solution

The fourth proportional to 17,786.93, 24,544.71 and 9,829.44 is: 13,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.93 : 24,544.71 = 9,829.44 : x
  2. Step 2: Convert to fraction form
    17,786.93/24,544.71 = 9,829.44/x
  3. Step 3: Cross multiply
    17,786.93x = 24,544.71 × 9,829.44
  4. Step 4: Simplify right side
    17,786.93x = 241,260,754.26
  5. Step 5: Solve for x
    x = 241,260,754.26/17,786.93
  6. Step 6: Final answer
    x = 13,563.94

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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.