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Finding the Fourth Proportional to 27,469.16, 41,203.73 and 9,934.88

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Solution

The fourth proportional to 27,469.16, 41,203.73 and 9,934.88 is: 14,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.16 : 41,203.73 = 9,934.88 : x
  2. Step 2: Convert to fraction form
    27,469.16/41,203.73 = 9,934.88/x
  3. Step 3: Cross multiply
    27,469.16x = 41,203.73 × 9,934.88
  4. Step 4: Simplify right side
    27,469.16x = 409,353,857.41
  5. Step 5: Solve for x
    x = 409,353,857.41/27,469.16
  6. Step 6: Final answer
    x = 14,902.31

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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.