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Finding the Fourth Proportional to 18,097.26, 27,163.41 and 8,743.86

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Solution

The fourth proportional to 18,097.26, 27,163.41 and 8,743.86 is: 13,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.26 : 27,163.41 = 8,743.86 : x
  2. Step 2: Convert to fraction form
    18,097.26/27,163.41 = 8,743.86/x
  3. Step 3: Cross multiply
    18,097.26x = 27,163.41 × 8,743.86
  4. Step 4: Simplify right side
    18,097.26x = 237,513,054.16
  5. Step 5: Solve for x
    x = 237,513,054.16/18,097.26
  6. Step 6: Final answer
    x = 13,124.25

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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.