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Finding the Fourth Proportional to 17,634.31, 24,335.72 and 9,676.53

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Solution

The fourth proportional to 17,634.31, 24,335.72 and 9,676.53 is: 13,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.31 : 24,335.72 = 9,676.53 : x
  2. Step 2: Convert to fraction form
    17,634.31/24,335.72 = 9,676.53/x
  3. Step 3: Cross multiply
    17,634.31x = 24,335.72 × 9,676.53
  4. Step 4: Simplify right side
    17,634.31x = 235,485,366.99
  5. Step 5: Solve for x
    x = 235,485,366.99/17,634.31
  6. Step 6: Final answer
    x = 13,353.82

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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.