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Finding the Fourth Proportional to 18,286.81, 27,437.05 and 7,201.23

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Solution

The fourth proportional to 18,286.81, 27,437.05 and 7,201.23 is: 10,804.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.81 : 27,437.05 = 7,201.23 : x
  2. Step 2: Convert to fraction form
    18,286.81/27,437.05 = 7,201.23/x
  3. Step 3: Cross multiply
    18,286.81x = 27,437.05 × 7,201.23
  4. Step 4: Simplify right side
    18,286.81x = 197,580,456.98
  5. Step 5: Solve for x
    x = 197,580,456.98/18,286.81
  6. Step 6: Final answer
    x = 10,804.53

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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.