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Finding the Fourth Proportional to 12,154.30, 16,773.96 and 6,850.18

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Solution

The fourth proportional to 12,154.30, 16,773.96 and 6,850.18 is: 9,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.30 : 16,773.96 = 6,850.18 : x
  2. Step 2: Convert to fraction form
    12,154.30/16,773.96 = 6,850.18/x
  3. Step 3: Cross multiply
    12,154.30x = 16,773.96 × 6,850.18
  4. Step 4: Simplify right side
    12,154.30x = 114,904,645.31
  5. Step 5: Solve for x
    x = 114,904,645.31/12,154.30
  6. Step 6: Final answer
    x = 9,453.83

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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.