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Finding the Fourth Proportional to 27,636.42, 41,454.63 and 6,859.92

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Solution

The fourth proportional to 27,636.42, 41,454.63 and 6,859.92 is: 10,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.42 : 41,454.63 = 6,859.92 : x
  2. Step 2: Convert to fraction form
    27,636.42/41,454.63 = 6,859.92/x
  3. Step 3: Cross multiply
    27,636.42x = 41,454.63 × 6,859.92
  4. Step 4: Simplify right side
    27,636.42x = 284,375,445.43
  5. Step 5: Solve for x
    x = 284,375,445.43/27,636.42
  6. Step 6: Final answer
    x = 10,289.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.