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Finding the Fourth Proportional to 18,609.38, 27,914.26 and 5,462

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Solution

The fourth proportional to 18,609.38, 27,914.26 and 5,462 is: 8,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,609.38 : 27,914.26 = 5,462 : x
  2. Step 2: Convert to fraction form
    18,609.38/27,914.26 = 5,462/x
  3. Step 3: Cross multiply
    18,609.38x = 27,914.26 × 5,462
  4. Step 4: Simplify right side
    18,609.38x = 152,467,688.12
  5. Step 5: Solve for x
    x = 152,467,688.12/18,609.38
  6. Step 6: Final answer
    x = 8,193.06

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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.