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Finding the Fourth Proportional to 18,072.20, 27,109.06 and 6,385.48

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Solution

The fourth proportional to 18,072.20, 27,109.06 and 6,385.48 is: 9,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072.20 : 27,109.06 = 6,385.48 : x
  2. Step 2: Convert to fraction form
    18,072.20/27,109.06 = 6,385.48/x
  3. Step 3: Cross multiply
    18,072.20x = 27,109.06 × 6,385.48
  4. Step 4: Simplify right side
    18,072.20x = 173,104,360.45
  5. Step 5: Solve for x
    x = 173,104,360.45/18,072.20
  6. Step 6: Final answer
    x = 9,578.49

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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.