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Finding the Fourth Proportional to 12,906.12, 17,807.73 and 8,436.42

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Solution

The fourth proportional to 12,906.12, 17,807.73 and 8,436.42 is: 11,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.12 : 17,807.73 = 8,436.42 : x
  2. Step 2: Convert to fraction form
    12,906.12/17,807.73 = 8,436.42/x
  3. Step 3: Cross multiply
    12,906.12x = 17,807.73 × 8,436.42
  4. Step 4: Simplify right side
    12,906.12x = 150,233,489.53
  5. Step 5: Solve for x
    x = 150,233,489.53/12,906.12
  6. Step 6: Final answer
    x = 11,640.48

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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.