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Finding the Fourth Proportional to 20,309.93, 30,451.92 and 9,758.96

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Solution

The fourth proportional to 20,309.93, 30,451.92 and 9,758.96 is: 14,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.93 : 30,451.92 = 9,758.96 : x
  2. Step 2: Convert to fraction form
    20,309.93/30,451.92 = 9,758.96/x
  3. Step 3: Cross multiply
    20,309.93x = 30,451.92 × 9,758.96
  4. Step 4: Simplify right side
    20,309.93x = 297,179,069.20
  5. Step 5: Solve for x
    x = 297,179,069.20/20,309.93
  6. Step 6: Final answer
    x = 14,632.21

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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.