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Finding the Fourth Proportional to 17,284.39, 23,854.79 and 9,732.22

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Solution

The fourth proportional to 17,284.39, 23,854.79 and 9,732.22 is: 13,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.39 : 23,854.79 = 9,732.22 : x
  2. Step 2: Convert to fraction form
    17,284.39/23,854.79 = 9,732.22/x
  3. Step 3: Cross multiply
    17,284.39x = 23,854.79 × 9,732.22
  4. Step 4: Simplify right side
    17,284.39x = 232,160,064.33
  5. Step 5: Solve for x
    x = 232,160,064.33/17,284.39
  6. Step 6: Final answer
    x = 13,431.78

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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.