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Finding the Fourth Proportional to 20,456.80, 30,685.11 and 5,665.57

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Solution

The fourth proportional to 20,456.80, 30,685.11 and 5,665.57 is: 8,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.80 : 30,685.11 = 5,665.57 : x
  2. Step 2: Convert to fraction form
    20,456.80/30,685.11 = 5,665.57/x
  3. Step 3: Cross multiply
    20,456.80x = 30,685.11 × 5,665.57
  4. Step 4: Simplify right side
    20,456.80x = 173,848,638.66
  5. Step 5: Solve for x
    x = 173,848,638.66/20,456.80
  6. Step 6: Final answer
    x = 8,498.33

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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.