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Finding the Fourth Proportional to 12,906.69, 17,794.53 and 8,361.30

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Solution

The fourth proportional to 12,906.69, 17,794.53 and 8,361.30 is: 11,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.69 : 17,794.53 = 8,361.30 : x
  2. Step 2: Convert to fraction form
    12,906.69/17,794.53 = 8,361.30/x
  3. Step 3: Cross multiply
    12,906.69x = 17,794.53 × 8,361.30
  4. Step 4: Simplify right side
    12,906.69x = 148,785,403.69
  5. Step 5: Solve for x
    x = 148,785,403.69/12,906.69
  6. Step 6: Final answer
    x = 11,527.77

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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.