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Finding the Fourth Proportional to 20,164.80, 30,211.20 and 9,753.60

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Solution

The fourth proportional to 20,164.80, 30,211.20 and 9,753.60 is: 14,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.80 : 30,211.20 = 9,753.60 : x
  2. Step 2: Convert to fraction form
    20,164.80/30,211.20 = 9,753.60/x
  3. Step 3: Cross multiply
    20,164.80x = 30,211.20 × 9,753.60
  4. Step 4: Simplify right side
    20,164.80x = 294,667,960.32
  5. Step 5: Solve for x
    x = 294,667,960.32/20,164.80
  6. Step 6: Final answer
    x = 14,612.99

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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.