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Finding the Fourth Proportional to 18,548.25, 27,825.99 and 6,861.57

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Solution

The fourth proportional to 18,548.25, 27,825.99 and 6,861.57 is: 10,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.25 : 27,825.99 = 6,861.57 : x
  2. Step 2: Convert to fraction form
    18,548.25/27,825.99 = 6,861.57/x
  3. Step 3: Cross multiply
    18,548.25x = 27,825.99 × 6,861.57
  4. Step 4: Simplify right side
    18,548.25x = 190,929,978.20
  5. Step 5: Solve for x
    x = 190,929,978.20/18,548.25
  6. Step 6: Final answer
    x = 10,293.69

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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.