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Finding the Fourth Proportional to 18,134.10, 27,201.82 and 4,987.50

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Solution

The fourth proportional to 18,134.10, 27,201.82 and 4,987.50 is: 7,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.10 : 27,201.82 = 4,987.50 : x
  2. Step 2: Convert to fraction form
    18,134.10/27,201.82 = 4,987.50/x
  3. Step 3: Cross multiply
    18,134.10x = 27,201.82 × 4,987.50
  4. Step 4: Simplify right side
    18,134.10x = 135,669,077.25
  5. Step 5: Solve for x
    x = 135,669,077.25/18,134.10
  6. Step 6: Final answer
    x = 7,481.43

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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.