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Finding the Fourth Proportional to 20,843.92, 31,258.50 and 7,692.76

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Solution

The fourth proportional to 20,843.92, 31,258.50 and 7,692.76 is: 11,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.92 : 31,258.50 = 7,692.76 : x
  2. Step 2: Convert to fraction form
    20,843.92/31,258.50 = 7,692.76/x
  3. Step 3: Cross multiply
    20,843.92x = 31,258.50 × 7,692.76
  4. Step 4: Simplify right side
    20,843.92x = 240,464,138.46
  5. Step 5: Solve for x
    x = 240,464,138.46/20,843.92
  6. Step 6: Final answer
    x = 11,536.42

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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.