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Finding the Fourth Proportional to 18,642.52, 27,966.48 and 6,163.84

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Solution

The fourth proportional to 18,642.52, 27,966.48 and 6,163.84 is: 9,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.52 : 27,966.48 = 6,163.84 : x
  2. Step 2: Convert to fraction form
    18,642.52/27,966.48 = 6,163.84/x
  3. Step 3: Cross multiply
    18,642.52x = 27,966.48 × 6,163.84
  4. Step 4: Simplify right side
    18,642.52x = 172,380,908.08
  5. Step 5: Solve for x
    x = 172,380,908.08/18,642.52
  6. Step 6: Final answer
    x = 9,246.65

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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.