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Finding the Fourth Proportional to 20,524.23, 30,781.94 and 6,485.34

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Solution

The fourth proportional to 20,524.23, 30,781.94 and 6,485.34 is: 9,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.23 : 30,781.94 = 6,485.34 : x
  2. Step 2: Convert to fraction form
    20,524.23/30,781.94 = 6,485.34/x
  3. Step 3: Cross multiply
    20,524.23x = 30,781.94 × 6,485.34
  4. Step 4: Simplify right side
    20,524.23x = 199,631,314.33
  5. Step 5: Solve for x
    x = 199,631,314.33/20,524.23
  6. Step 6: Final answer
    x = 9,726.62

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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.