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Finding the Fourth Proportional to 18,594.31, 27,879.35 and 6,745.88

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Solution

The fourth proportional to 18,594.31, 27,879.35 and 6,745.88 is: 10,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.31 : 27,879.35 = 6,745.88 : x
  2. Step 2: Convert to fraction form
    18,594.31/27,879.35 = 6,745.88/x
  3. Step 3: Cross multiply
    18,594.31x = 27,879.35 × 6,745.88
  4. Step 4: Simplify right side
    18,594.31x = 188,070,749.58
  5. Step 5: Solve for x
    x = 188,070,749.58/18,594.31
  6. Step 6: Final answer
    x = 10,114.42

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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.