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Finding the Fourth Proportional to 26,455.80, 39,679.12 and 7,481.76

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Solution

The fourth proportional to 26,455.80, 39,679.12 and 7,481.76 is: 11,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455.80 : 39,679.12 = 7,481.76 : x
  2. Step 2: Convert to fraction form
    26,455.80/39,679.12 = 7,481.76/x
  3. Step 3: Cross multiply
    26,455.80x = 39,679.12 × 7,481.76
  4. Step 4: Simplify right side
    26,455.80x = 296,869,652.85
  5. Step 5: Solve for x
    x = 296,869,652.85/26,455.80
  6. Step 6: Final answer
    x = 11,221.34

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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.