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Finding the Fourth Proportional to 17,633.46, 24,334.68 and 9,676.21

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Solution

The fourth proportional to 17,633.46, 24,334.68 and 9,676.21 is: 13,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.46 : 24,334.68 = 9,676.21 : x
  2. Step 2: Convert to fraction form
    17,633.46/24,334.68 = 9,676.21/x
  3. Step 3: Cross multiply
    17,633.46x = 24,334.68 × 9,676.21
  4. Step 4: Simplify right side
    17,633.46x = 235,467,440.61
  5. Step 5: Solve for x
    x = 235,467,440.61/17,633.46
  6. Step 6: Final answer
    x = 13,353.44

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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.