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Finding the Fourth Proportional to 20,105.16, 30,168.90 and 10,246.20

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Solution

The fourth proportional to 20,105.16, 30,168.90 and 10,246.20 is: 15,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.16 : 30,168.90 = 10,246.20 : x
  2. Step 2: Convert to fraction form
    20,105.16/30,168.90 = 10,246.20/x
  3. Step 3: Cross multiply
    20,105.16x = 30,168.90 × 10,246.20
  4. Step 4: Simplify right side
    20,105.16x = 309,116,583.18
  5. Step 5: Solve for x
    x = 309,116,583.18/20,105.16
  6. Step 6: Final answer
    x = 15,374.99

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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.