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Finding the Fourth Proportional to 20,178.68, 27,817.43 and 13,361.29

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Solution

The fourth proportional to 20,178.68, 27,817.43 and 13,361.29 is: 18,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.68 : 27,817.43 = 13,361.29 : x
  2. Step 2: Convert to fraction form
    20,178.68/27,817.43 = 13,361.29/x
  3. Step 3: Cross multiply
    20,178.68x = 27,817.43 × 13,361.29
  4. Step 4: Simplify right side
    20,178.68x = 371,676,717.25
  5. Step 5: Solve for x
    x = 371,676,717.25/20,178.68
  6. Step 6: Final answer
    x = 18,419.27

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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.