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Finding the Fourth Proportional to 18,286.78, 27,431.24 and 5,140.18

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Solution

The fourth proportional to 18,286.78, 27,431.24 and 5,140.18 is: 7,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.78 : 27,431.24 = 5,140.18 : x
  2. Step 2: Convert to fraction form
    18,286.78/27,431.24 = 5,140.18/x
  3. Step 3: Cross multiply
    18,286.78x = 27,431.24 × 5,140.18
  4. Step 4: Simplify right side
    18,286.78x = 141,001,511.22
  5. Step 5: Solve for x
    x = 141,001,511.22/18,286.78
  6. Step 6: Final answer
    x = 7,710.57

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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.