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Finding the Fourth Proportional to 20,178.60, 30,264.30 and 12,769.80

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Solution

The fourth proportional to 20,178.60, 30,264.30 and 12,769.80 is: 19,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.60 : 30,264.30 = 12,769.80 : x
  2. Step 2: Convert to fraction form
    20,178.60/30,264.30 = 12,769.80/x
  3. Step 3: Cross multiply
    20,178.60x = 30,264.30 × 12,769.80
  4. Step 4: Simplify right side
    20,178.60x = 386,469,058.14
  5. Step 5: Solve for x
    x = 386,469,058.14/20,178.60
  6. Step 6: Final answer
    x = 19,152.42

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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.