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Finding the Fourth Proportional to 20,468.33, 30,702.48 and 5,677.24

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Solution

The fourth proportional to 20,468.33, 30,702.48 and 5,677.24 is: 8,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.33 : 30,702.48 = 5,677.24 : x
  2. Step 2: Convert to fraction form
    20,468.33/30,702.48 = 5,677.24/x
  3. Step 3: Cross multiply
    20,468.33x = 30,702.48 × 5,677.24
  4. Step 4: Simplify right side
    20,468.33x = 174,305,347.56
  5. Step 5: Solve for x
    x = 174,305,347.56/20,468.33
  6. Step 6: Final answer
    x = 8,515.86

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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.