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Finding the Fourth Proportional to 20,015.02, 30,025.78 and 6,164.02

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Solution

The fourth proportional to 20,015.02, 30,025.78 and 6,164.02 is: 9,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015.02 : 30,025.78 = 6,164.02 : x
  2. Step 2: Convert to fraction form
    20,015.02/30,025.78 = 6,164.02/x
  3. Step 3: Cross multiply
    20,015.02x = 30,025.78 × 6,164.02
  4. Step 4: Simplify right side
    20,015.02x = 185,079,508.44
  5. Step 5: Solve for x
    x = 185,079,508.44/20,015.02
  6. Step 6: Final answer
    x = 9,247.03

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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.