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Finding the Fourth Proportional to 20,287.78, 30,433.02 and 6,246.94

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Solution

The fourth proportional to 20,287.78, 30,433.02 and 6,246.94 is: 9,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.78 : 30,433.02 = 6,246.94 : x
  2. Step 2: Convert to fraction form
    20,287.78/30,433.02 = 6,246.94/x
  3. Step 3: Cross multiply
    20,287.78x = 30,433.02 × 6,246.94
  4. Step 4: Simplify right side
    20,287.78x = 190,113,249.96
  5. Step 5: Solve for x
    x = 190,113,249.96/20,287.78
  6. Step 6: Final answer
    x = 9,370.83

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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.