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Finding the Fourth Proportional to 17,634.39, 24,335.85 and 9,676.58

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Solution

The fourth proportional to 17,634.39, 24,335.85 and 9,676.58 is: 13,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.39 : 24,335.85 = 9,676.58 : x
  2. Step 2: Convert to fraction form
    17,634.39/24,335.85 = 9,676.58/x
  3. Step 3: Cross multiply
    17,634.39x = 24,335.85 × 9,676.58
  4. Step 4: Simplify right side
    17,634.39x = 235,487,677.71
  5. Step 5: Solve for x
    x = 235,487,677.71/17,634.39
  6. Step 6: Final answer
    x = 13,353.89

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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.