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Finding the Fourth Proportional to 27,469.20, 41,205.15 and 14,347.20

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Solution

The fourth proportional to 27,469.20, 41,205.15 and 14,347.20 is: 21,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.20 : 41,205.15 = 14,347.20 : x
  2. Step 2: Convert to fraction form
    27,469.20/41,205.15 = 14,347.20/x
  3. Step 3: Cross multiply
    27,469.20x = 41,205.15 × 14,347.20
  4. Step 4: Simplify right side
    27,469.20x = 591,178,528.08
  5. Step 5: Solve for x
    x = 591,178,528.08/27,469.20
  6. Step 6: Final answer
    x = 21,521.51

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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.