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Finding the Fourth Proportional to 18,207, 27,314.82 and 5,895

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Solution

The fourth proportional to 18,207, 27,314.82 and 5,895 is: 8,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207 : 27,314.82 = 5,895 : x
  2. Step 2: Convert to fraction form
    18,207/27,314.82 = 5,895/x
  3. Step 3: Cross multiply
    18,207x = 27,314.82 × 5,895
  4. Step 4: Simplify right side
    18,207x = 161,020,863.90
  5. Step 5: Solve for x
    x = 161,020,863.90/18,207
  6. Step 6: Final answer
    x = 8,843.90

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Why These Related Problems?

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