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Finding the Fourth Proportional to 14,645.25, 20,214.09 and 8,361.27

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Solution

The fourth proportional to 14,645.25, 20,214.09 and 8,361.27 is: 11,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.25 : 20,214.09 = 8,361.27 : x
  2. Step 2: Convert to fraction form
    14,645.25/20,214.09 = 8,361.27/x
  3. Step 3: Cross multiply
    14,645.25x = 20,214.09 × 8,361.27
  4. Step 4: Simplify right side
    14,645.25x = 169,015,464.29
  5. Step 5: Solve for x
    x = 169,015,464.29/14,645.25
  6. Step 6: Final answer
    x = 11,540.63

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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.