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Finding the Fourth Proportional to 18,455.86, 27,687.82 and 5,977.14

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Solution

The fourth proportional to 18,455.86, 27,687.82 and 5,977.14 is: 8,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,455.86 : 27,687.82 = 5,977.14 : x
  2. Step 2: Convert to fraction form
    18,455.86/27,687.82 = 5,977.14/x
  3. Step 3: Cross multiply
    18,455.86x = 27,687.82 × 5,977.14
  4. Step 4: Simplify right side
    18,455.86x = 165,493,976.43
  5. Step 5: Solve for x
    x = 165,493,976.43/18,455.86
  6. Step 6: Final answer
    x = 8,967.02

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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.