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Finding the Fourth Proportional to 26,546.46, 39,819.69 and 9,905.82

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Solution

The fourth proportional to 26,546.46, 39,819.69 and 9,905.82 is: 14,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.46 : 39,819.69 = 9,905.82 : x
  2. Step 2: Convert to fraction form
    26,546.46/39,819.69 = 9,905.82/x
  3. Step 3: Cross multiply
    26,546.46x = 39,819.69 × 9,905.82
  4. Step 4: Simplify right side
    26,546.46x = 394,446,681.60
  5. Step 5: Solve for x
    x = 394,446,681.60/26,546.46
  6. Step 6: Final answer
    x = 14,858.73

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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.