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Finding the Fourth Proportional to 20,012.16, 30,014.83 and 6,683.64

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Solution

The fourth proportional to 20,012.16, 30,014.83 and 6,683.64 is: 10,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.16 : 30,014.83 = 6,683.64 : x
  2. Step 2: Convert to fraction form
    20,012.16/30,014.83 = 6,683.64/x
  3. Step 3: Cross multiply
    20,012.16x = 30,014.83 × 6,683.64
  4. Step 4: Simplify right side
    20,012.16x = 200,608,279.80
  5. Step 5: Solve for x
    x = 200,608,279.80/20,012.16
  6. Step 6: Final answer
    x = 10,024.32

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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.