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Finding the Fourth Proportional to 20,229.58, 30,343.42 and 7,084.90

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Solution

The fourth proportional to 20,229.58, 30,343.42 and 7,084.90 is: 10,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.58 : 30,343.42 = 7,084.90 : x
  2. Step 2: Convert to fraction form
    20,229.58/30,343.42 = 7,084.90/x
  3. Step 3: Cross multiply
    20,229.58x = 30,343.42 × 7,084.90
  4. Step 4: Simplify right side
    20,229.58x = 214,980,096.36
  5. Step 5: Solve for x
    x = 214,980,096.36/20,229.58
  6. Step 6: Final answer
    x = 10,627.02

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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.