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Finding the Fourth Proportional to 20,220.98, 30,310.94 and 7,737.80

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Solution

The fourth proportional to 20,220.98, 30,310.94 and 7,737.80 is: 11,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220.98 : 30,310.94 = 7,737.80 : x
  2. Step 2: Convert to fraction form
    20,220.98/30,310.94 = 7,737.80/x
  3. Step 3: Cross multiply
    20,220.98x = 30,310.94 × 7,737.80
  4. Step 4: Simplify right side
    20,220.98x = 234,539,991.53
  5. Step 5: Solve for x
    x = 234,539,991.53/20,220.98
  6. Step 6: Final answer
    x = 11,598.84

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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.