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Finding the Fourth Proportional to 12,310.25, 16,989.57 and 6,932.73

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Solution

The fourth proportional to 12,310.25, 16,989.57 and 6,932.73 is: 9,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.25 : 16,989.57 = 6,932.73 : x
  2. Step 2: Convert to fraction form
    12,310.25/16,989.57 = 6,932.73/x
  3. Step 3: Cross multiply
    12,310.25x = 16,989.57 × 6,932.73
  4. Step 4: Simplify right side
    12,310.25x = 117,784,066.96
  5. Step 5: Solve for x
    x = 117,784,066.96/12,310.25
  6. Step 6: Final answer
    x = 9,567.97

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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.