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Finding the Fourth Proportional to 20,274.49, 30,391.39 and 8,412.13

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Solution

The fourth proportional to 20,274.49, 30,391.39 and 8,412.13 is: 12,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.49 : 30,391.39 = 8,412.13 : x
  2. Step 2: Convert to fraction form
    20,274.49/30,391.39 = 8,412.13/x
  3. Step 3: Cross multiply
    20,274.49x = 30,391.39 × 8,412.13
  4. Step 4: Simplify right side
    20,274.49x = 255,656,323.56
  5. Step 5: Solve for x
    x = 255,656,323.56/20,274.49
  6. Step 6: Final answer
    x = 12,609.75

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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.