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Finding the Fourth Proportional to 20,181.20, 30,282.60 and 9,089.60

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Solution

The fourth proportional to 20,181.20, 30,282.60 and 9,089.60 is: 13,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.20 : 30,282.60 = 9,089.60 : x
  2. Step 2: Convert to fraction form
    20,181.20/30,282.60 = 9,089.60/x
  3. Step 3: Cross multiply
    20,181.20x = 30,282.60 × 9,089.60
  4. Step 4: Simplify right side
    20,181.20x = 275,256,720.96
  5. Step 5: Solve for x
    x = 275,256,720.96/20,181.20
  6. Step 6: Final answer
    x = 13,639.26

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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.