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Finding the Fourth Proportional to 20,947.82, 31,421.72 and 9,859.73

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Solution

The fourth proportional to 20,947.82, 31,421.72 and 9,859.73 is: 14,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,947.82 : 31,421.72 = 9,859.73 : x
  2. Step 2: Convert to fraction form
    20,947.82/31,421.72 = 9,859.73/x
  3. Step 3: Cross multiply
    20,947.82x = 31,421.72 × 9,859.73
  4. Step 4: Simplify right side
    20,947.82x = 309,809,542.88
  5. Step 5: Solve for x
    x = 309,809,542.88/20,947.82
  6. Step 6: Final answer
    x = 14,789.59

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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.