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Finding the Fourth Proportional to 20,805.88, 31,209.22 and 9,709.56

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Solution

The fourth proportional to 20,805.88, 31,209.22 and 9,709.56 is: 14,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.88 : 31,209.22 = 9,709.56 : x
  2. Step 2: Convert to fraction form
    20,805.88/31,209.22 = 9,709.56/x
  3. Step 3: Cross multiply
    20,805.88x = 31,209.22 × 9,709.56
  4. Step 4: Simplify right side
    20,805.88x = 303,027,794.14
  5. Step 5: Solve for x
    x = 303,027,794.14/20,805.88
  6. Step 6: Final answer
    x = 14,564.53

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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.