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Finding the Fourth Proportional to 20,226.65, 30,319.15 and 7,743.27

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Solution

The fourth proportional to 20,226.65, 30,319.15 and 7,743.27 is: 11,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.65 : 30,319.15 = 7,743.27 : x
  2. Step 2: Convert to fraction form
    20,226.65/30,319.15 = 7,743.27/x
  3. Step 3: Cross multiply
    20,226.65x = 30,319.15 × 7,743.27
  4. Step 4: Simplify right side
    20,226.65x = 234,769,364.62
  5. Step 5: Solve for x
    x = 234,769,364.62/20,226.65
  6. Step 6: Final answer
    x = 11,606.93

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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.