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Finding the Fourth Proportional to 11,820.96, 17,682.12 and 8,310.72

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Solution

The fourth proportional to 11,820.96, 17,682.12 and 8,310.72 is: 12,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.96 : 17,682.12 = 8,310.72 : x
  2. Step 2: Convert to fraction form
    11,820.96/17,682.12 = 8,310.72/x
  3. Step 3: Cross multiply
    11,820.96x = 17,682.12 × 8,310.72
  4. Step 4: Simplify right side
    11,820.96x = 146,951,148.33
  5. Step 5: Solve for x
    x = 146,951,148.33/11,820.96
  6. Step 6: Final answer
    x = 12,431.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.