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Finding the Fourth Proportional to 26,287.92, 39,447 and 10,705.68

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Solution

The fourth proportional to 26,287.92, 39,447 and 10,705.68 is: 16,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,287.92 : 39,447 = 10,705.68 : x
  2. Step 2: Convert to fraction form
    26,287.92/39,447 = 10,705.68/x
  3. Step 3: Cross multiply
    26,287.92x = 39,447 × 10,705.68
  4. Step 4: Simplify right side
    26,287.92x = 422,306,958.96
  5. Step 5: Solve for x
    x = 422,306,958.96/26,287.92
  6. Step 6: Final answer
    x = 16,064.68

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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.