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Finding the Fourth Proportional to 20,286.96, 30,435.24 and 6,435.96

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Solution

The fourth proportional to 20,286.96, 30,435.24 and 6,435.96 is: 9,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.96 : 30,435.24 = 6,435.96 : x
  2. Step 2: Convert to fraction form
    20,286.96/30,435.24 = 6,435.96/x
  3. Step 3: Cross multiply
    20,286.96x = 30,435.24 × 6,435.96
  4. Step 4: Simplify right side
    20,286.96x = 195,879,987.23
  5. Step 5: Solve for x
    x = 195,879,987.23/20,286.96
  6. Step 6: Final answer
    x = 9,655.46

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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.