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Finding the Fourth Proportional to 20,287.46, 30,422.88 and 8,433.12

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Solution

The fourth proportional to 20,287.46, 30,422.88 and 8,433.12 is: 12,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.46 : 30,422.88 = 8,433.12 : x
  2. Step 2: Convert to fraction form
    20,287.46/30,422.88 = 8,433.12/x
  3. Step 3: Cross multiply
    20,287.46x = 30,422.88 × 8,433.12
  4. Step 4: Simplify right side
    20,287.46x = 256,559,797.79
  5. Step 5: Solve for x
    x = 256,559,797.79/20,287.46
  6. Step 6: Final answer
    x = 12,646.23

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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.