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Finding the Fourth Proportional to 27,943.30, 41,906.04 and 9,219.85

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Solution

The fourth proportional to 27,943.30, 41,906.04 and 9,219.85 is: 13,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.30 : 41,906.04 = 9,219.85 : x
  2. Step 2: Convert to fraction form
    27,943.30/41,906.04 = 9,219.85/x
  3. Step 3: Cross multiply
    27,943.30x = 41,906.04 × 9,219.85
  4. Step 4: Simplify right side
    27,943.30x = 386,367,402.89
  5. Step 5: Solve for x
    x = 386,367,402.89/27,943.30
  6. Step 6: Final answer
    x = 13,826.84

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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.