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Finding the Fourth Proportional to 27,468.80, 41,203.20 and 9,939.20

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Solution

The fourth proportional to 27,468.80, 41,203.20 and 9,939.20 is: 14,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.80 : 41,203.20 = 9,939.20 : x
  2. Step 2: Convert to fraction form
    27,468.80/41,203.20 = 9,939.20/x
  3. Step 3: Cross multiply
    27,468.80x = 41,203.20 × 9,939.20
  4. Step 4: Simplify right side
    27,468.80x = 409,526,845.44
  5. Step 5: Solve for x
    x = 409,526,845.44/27,468.80
  6. Step 6: Final answer
    x = 14,908.80

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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.