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Finding the Fourth Proportional to 20,433.83, 30,651.59 and 6,394.12

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Solution

The fourth proportional to 20,433.83, 30,651.59 and 6,394.12 is: 9,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.83 : 30,651.59 = 6,394.12 : x
  2. Step 2: Convert to fraction form
    20,433.83/30,651.59 = 6,394.12/x
  3. Step 3: Cross multiply
    20,433.83x = 30,651.59 × 6,394.12
  4. Step 4: Simplify right side
    20,433.83x = 195,990,020.46
  5. Step 5: Solve for x
    x = 195,990,020.46/20,433.83
  6. Step 6: Final answer
    x = 9,591.45

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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.