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Finding the Fourth Proportional to 20,165.10, 30,243.60 and 9,635.10

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Solution

The fourth proportional to 20,165.10, 30,243.60 and 9,635.10 is: 14,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.10 : 30,243.60 = 9,635.10 : x
  2. Step 2: Convert to fraction form
    20,165.10/30,243.60 = 9,635.10/x
  3. Step 3: Cross multiply
    20,165.10x = 30,243.60 × 9,635.10
  4. Step 4: Simplify right side
    20,165.10x = 291,400,110.36
  5. Step 5: Solve for x
    x = 291,400,110.36/20,165.10
  6. Step 6: Final answer
    x = 14,450.71

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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.