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Finding the Fourth Proportional to 18,584.11, 27,872.66 and 5,257

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Solution

The fourth proportional to 18,584.11, 27,872.66 and 5,257 is: 7,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.11 : 27,872.66 = 5,257 : x
  2. Step 2: Convert to fraction form
    18,584.11/27,872.66 = 5,257/x
  3. Step 3: Cross multiply
    18,584.11x = 27,872.66 × 5,257
  4. Step 4: Simplify right side
    18,584.11x = 146,526,573.62
  5. Step 5: Solve for x
    x = 146,526,573.62/18,584.11
  6. Step 6: Final answer
    x = 7,884.51

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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.