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Finding the Fourth Proportional to 20,174.68, 30,235.74 and 10,305.64

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Solution

The fourth proportional to 20,174.68, 30,235.74 and 10,305.64 is: 15,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.68 : 30,235.74 = 10,305.64 : x
  2. Step 2: Convert to fraction form
    20,174.68/30,235.74 = 10,305.64/x
  3. Step 3: Cross multiply
    20,174.68x = 30,235.74 × 10,305.64
  4. Step 4: Simplify right side
    20,174.68x = 311,598,651.57
  5. Step 5: Solve for x
    x = 311,598,651.57/20,174.68
  6. Step 6: Final answer
    x = 15,445.04

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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.