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Finding the Fourth Proportional to 27,471.52, 41,207.28 and 9,940.96

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Solution

The fourth proportional to 27,471.52, 41,207.28 and 9,940.96 is: 14,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.52 : 41,207.28 = 9,940.96 : x
  2. Step 2: Convert to fraction form
    27,471.52/41,207.28 = 9,940.96/x
  3. Step 3: Cross multiply
    27,471.52x = 41,207.28 × 9,940.96
  4. Step 4: Simplify right side
    27,471.52x = 409,639,922.19
  5. Step 5: Solve for x
    x = 409,639,922.19/27,471.52
  6. Step 6: Final answer
    x = 14,911.44

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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.