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Finding the Fourth Proportional to 20,022.80, 29,998.20 and 9,611.60

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Solution

The fourth proportional to 20,022.80, 29,998.20 and 9,611.60 is: 14,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.80 : 29,998.20 = 9,611.60 : x
  2. Step 2: Convert to fraction form
    20,022.80/29,998.20 = 9,611.60/x
  3. Step 3: Cross multiply
    20,022.80x = 29,998.20 × 9,611.60
  4. Step 4: Simplify right side
    20,022.80x = 288,330,699.12
  5. Step 5: Solve for x
    x = 288,330,699.12/20,022.80
  6. Step 6: Final answer
    x = 14,400.12

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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.