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Finding the Fourth Proportional to 20,521.94, 30,796.78 and 8,040.42

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Solution

The fourth proportional to 20,521.94, 30,796.78 and 8,040.42 is: 12,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.94 : 30,796.78 = 8,040.42 : x
  2. Step 2: Convert to fraction form
    20,521.94/30,796.78 = 8,040.42/x
  3. Step 3: Cross multiply
    20,521.94x = 30,796.78 × 8,040.42
  4. Step 4: Simplify right side
    20,521.94x = 247,619,045.85
  5. Step 5: Solve for x
    x = 247,619,045.85/20,521.94
  6. Step 6: Final answer
    x = 12,066.06

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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.