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Finding the Fourth Proportional to 20,433.33, 30,649.39 and 5,643.14

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Solution

The fourth proportional to 20,433.33, 30,649.39 and 5,643.14 is: 8,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.33 : 30,649.39 = 5,643.14 : x
  2. Step 2: Convert to fraction form
    20,433.33/30,649.39 = 5,643.14/x
  3. Step 3: Cross multiply
    20,433.33x = 30,649.39 × 5,643.14
  4. Step 4: Simplify right side
    20,433.33x = 172,958,631.33
  5. Step 5: Solve for x
    x = 172,958,631.33/20,433.33
  6. Step 6: Final answer
    x = 8,464.53

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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.