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Finding the Fourth Proportional to 21,745.26, 32,614.38 and 6,159.24

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Solution

The fourth proportional to 21,745.26, 32,614.38 and 6,159.24 is: 9,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.26 : 32,614.38 = 6,159.24 : x
  2. Step 2: Convert to fraction form
    21,745.26/32,614.38 = 6,159.24/x
  3. Step 3: Cross multiply
    21,745.26x = 32,614.38 × 6,159.24
  4. Step 4: Simplify right side
    21,745.26x = 200,879,793.87
  5. Step 5: Solve for x
    x = 200,879,793.87/21,745.26
  6. Step 6: Final answer
    x = 9,237.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.