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Finding the Fourth Proportional to 17,634.91, 24,335.34 and 9,676.96

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Solution

The fourth proportional to 17,634.91, 24,335.34 and 9,676.96 is: 13,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.91 : 24,335.34 = 9,676.96 : x
  2. Step 2: Convert to fraction form
    17,634.91/24,335.34 = 9,676.96/x
  3. Step 3: Cross multiply
    17,634.91x = 24,335.34 × 9,676.96
  4. Step 4: Simplify right side
    17,634.91x = 235,492,111.77
  5. Step 5: Solve for x
    x = 235,492,111.77/17,634.91
  6. Step 6: Final answer
    x = 13,353.75

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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.