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Finding the Fourth Proportional to 18,592.14, 27,891.63 and 6,112.86

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Solution

The fourth proportional to 18,592.14, 27,891.63 and 6,112.86 is: 9,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.14 : 27,891.63 = 6,112.86 : x
  2. Step 2: Convert to fraction form
    18,592.14/27,891.63 = 6,112.86/x
  3. Step 3: Cross multiply
    18,592.14x = 27,891.63 × 6,112.86
  4. Step 4: Simplify right side
    18,592.14x = 170,497,629.36
  5. Step 5: Solve for x
    x = 170,497,629.36/18,592.14
  6. Step 6: Final answer
    x = 9,170.41

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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.