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Finding the Fourth Proportional to 20,450.18, 30,675.96 and 5,657.86

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Solution

The fourth proportional to 20,450.18, 30,675.96 and 5,657.86 is: 8,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450.18 : 30,675.96 = 5,657.86 : x
  2. Step 2: Convert to fraction form
    20,450.18/30,675.96 = 5,657.86/x
  3. Step 3: Cross multiply
    20,450.18x = 30,675.96 × 5,657.86
  4. Step 4: Simplify right side
    20,450.18x = 173,560,309.48
  5. Step 5: Solve for x
    x = 173,560,309.48/20,450.18
  6. Step 6: Final answer
    x = 8,486.98

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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.