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Finding the Fourth Proportional to 18,202.04, 27,286.82 and 7,106.16

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Solution

The fourth proportional to 18,202.04, 27,286.82 and 7,106.16 is: 10,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.04 : 27,286.82 = 7,106.16 : x
  2. Step 2: Convert to fraction form
    18,202.04/27,286.82 = 7,106.16/x
  3. Step 3: Cross multiply
    18,202.04x = 27,286.82 × 7,106.16
  4. Step 4: Simplify right side
    18,202.04x = 193,904,508.81
  5. Step 5: Solve for x
    x = 193,904,508.81/18,202.04
  6. Step 6: Final answer
    x = 10,652.90

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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.