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Finding the Fourth Proportional to 17,634.26, 24,335.31 and 9,676.82

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Solution

The fourth proportional to 17,634.26, 24,335.31 and 9,676.82 is: 13,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.26 : 24,335.31 = 9,676.82 : x
  2. Step 2: Convert to fraction form
    17,634.26/24,335.31 = 9,676.82/x
  3. Step 3: Cross multiply
    17,634.26x = 24,335.31 × 9,676.82
  4. Step 4: Simplify right side
    17,634.26x = 235,488,414.51
  5. Step 5: Solve for x
    x = 235,488,414.51/17,634.26
  6. Step 6: Final answer
    x = 13,354.03

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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.