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Finding the Fourth Proportional to 27,409.20, 41,115.15 and 14,287.20

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Solution

The fourth proportional to 27,409.20, 41,115.15 and 14,287.20 is: 21,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.20 : 41,115.15 = 14,287.20 : x
  2. Step 2: Convert to fraction form
    27,409.20/41,115.15 = 14,287.20/x
  3. Step 3: Cross multiply
    27,409.20x = 41,115.15 × 14,287.20
  4. Step 4: Simplify right side
    27,409.20x = 587,420,371.08
  5. Step 5: Solve for x
    x = 587,420,371.08/27,409.20
  6. Step 6: Final answer
    x = 21,431.50

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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.