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Finding the Fourth Proportional to 18,202.12, 27,286.93 and 7,106.22

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Solution

The fourth proportional to 18,202.12, 27,286.93 and 7,106.22 is: 10,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.12 : 27,286.93 = 7,106.22 : x
  2. Step 2: Convert to fraction form
    18,202.12/27,286.93 = 7,106.22/x
  3. Step 3: Cross multiply
    18,202.12x = 27,286.93 × 7,106.22
  4. Step 4: Simplify right side
    18,202.12x = 193,906,936.59
  5. Step 5: Solve for x
    x = 193,906,936.59/18,202.12
  6. Step 6: Final answer
    x = 10,652.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.