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Finding the Fourth Proportional to 20,114.37, 30,171.87 and 7,631.10

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Solution

The fourth proportional to 20,114.37, 30,171.87 and 7,631.10 is: 11,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.37 : 30,171.87 = 7,631.10 : x
  2. Step 2: Convert to fraction form
    20,114.37/30,171.87 = 7,631.10/x
  3. Step 3: Cross multiply
    20,114.37x = 30,171.87 × 7,631.10
  4. Step 4: Simplify right side
    20,114.37x = 230,244,557.16
  5. Step 5: Solve for x
    x = 230,244,557.16/20,114.37
  6. Step 6: Final answer
    x = 11,446.77

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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.