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Finding the Fourth Proportional to 18,196.26, 27,293.12 and 7,100.88

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Solution

The fourth proportional to 18,196.26, 27,293.12 and 7,100.88 is: 10,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196.26 : 27,293.12 = 7,100.88 : x
  2. Step 2: Convert to fraction form
    18,196.26/27,293.12 = 7,100.88/x
  3. Step 3: Cross multiply
    18,196.26x = 27,293.12 × 7,100.88
  4. Step 4: Simplify right side
    18,196.26x = 193,805,169.95
  5. Step 5: Solve for x
    x = 193,805,169.95/18,196.26
  6. Step 6: Final answer
    x = 10,650.82

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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.