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Finding the Fourth Proportional to 20,179.62, 30,247.56 and 9,769.50

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Solution

The fourth proportional to 20,179.62, 30,247.56 and 9,769.50 is: 14,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.62 : 30,247.56 = 9,769.50 : x
  2. Step 2: Convert to fraction form
    20,179.62/30,247.56 = 9,769.50/x
  3. Step 3: Cross multiply
    20,179.62x = 30,247.56 × 9,769.50
  4. Step 4: Simplify right side
    20,179.62x = 295,503,537.42
  5. Step 5: Solve for x
    x = 295,503,537.42/20,179.62
  6. Step 6: Final answer
    x = 14,643.66

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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.