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Finding the Fourth Proportional to 27,227.70, 40,827.07 and 9,453.87

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Solution

The fourth proportional to 27,227.70, 40,827.07 and 9,453.87 is: 14,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,227.70 : 40,827.07 = 9,453.87 : x
  2. Step 2: Convert to fraction form
    27,227.70/40,827.07 = 9,453.87/x
  3. Step 3: Cross multiply
    27,227.70x = 40,827.07 × 9,453.87
  4. Step 4: Simplify right side
    27,227.70x = 385,973,812.26
  5. Step 5: Solve for x
    x = 385,973,812.26/27,227.70
  6. Step 6: Final answer
    x = 14,175.78

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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.