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Finding the Fourth Proportional to 18,627.25, 27,941.78 and 6,148.39

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Solution

The fourth proportional to 18,627.25, 27,941.78 and 6,148.39 is: 9,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,627.25 : 27,941.78 = 6,148.39 : x
  2. Step 2: Convert to fraction form
    18,627.25/27,941.78 = 6,148.39/x
  3. Step 3: Cross multiply
    18,627.25x = 27,941.78 × 6,148.39
  4. Step 4: Simplify right side
    18,627.25x = 171,796,960.73
  5. Step 5: Solve for x
    x = 171,796,960.73/18,627.25
  6. Step 6: Final answer
    x = 9,222.88

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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.