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Finding the Fourth Proportional to 20,226.66, 30,319.16 and 7,743.28

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Solution

The fourth proportional to 20,226.66, 30,319.16 and 7,743.28 is: 11,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.66 : 30,319.16 = 7,743.28 : x
  2. Step 2: Convert to fraction form
    20,226.66/30,319.16 = 7,743.28/x
  3. Step 3: Cross multiply
    20,226.66x = 30,319.16 × 7,743.28
  4. Step 4: Simplify right side
    20,226.66x = 234,769,745.24
  5. Step 5: Solve for x
    x = 234,769,745.24/20,226.66
  6. Step 6: Final answer
    x = 11,606.95

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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.