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Finding the Fourth Proportional to 20,605.88, 30,910.44 and 8,919.20

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Solution

The fourth proportional to 20,605.88, 30,910.44 and 8,919.20 is: 13,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.88 : 30,910.44 = 8,919.20 : x
  2. Step 2: Convert to fraction form
    20,605.88/30,910.44 = 8,919.20/x
  3. Step 3: Cross multiply
    20,605.88x = 30,910.44 × 8,919.20
  4. Step 4: Simplify right side
    20,605.88x = 275,696,241.90
  5. Step 5: Solve for x
    x = 275,696,241.90/20,605.88
  6. Step 6: Final answer
    x = 13,379.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.