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Finding the Fourth Proportional to 11,682.96, 17,441.21 and 11,272.86

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Solution

The fourth proportional to 11,682.96, 17,441.21 and 11,272.86 is: 16,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.96 : 17,441.21 = 11,272.86 : x
  2. Step 2: Convert to fraction form
    11,682.96/17,441.21 = 11,272.86/x
  3. Step 3: Cross multiply
    11,682.96x = 17,441.21 × 11,272.86
  4. Step 4: Simplify right side
    11,682.96x = 196,612,262.20
  5. Step 5: Solve for x
    x = 196,612,262.20/11,682.96
  6. Step 6: Final answer
    x = 16,828.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.