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Finding the Fourth Proportional to 17,634.03, 24,335.45 and 9,676.77

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Solution

The fourth proportional to 17,634.03, 24,335.45 and 9,676.77 is: 13,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.03 : 24,335.45 = 9,676.77 : x
  2. Step 2: Convert to fraction form
    17,634.03/24,335.45 = 9,676.77/x
  3. Step 3: Cross multiply
    17,634.03x = 24,335.45 × 9,676.77
  4. Step 4: Simplify right side
    17,634.03x = 235,488,640.46
  5. Step 5: Solve for x
    x = 235,488,640.46/17,634.03
  6. Step 6: Final answer
    x = 13,354.22

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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.