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Finding the Fourth Proportional to 26,783.92, 36,961.22 and 14,847.16

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Solution

The fourth proportional to 26,783.92, 36,961.22 and 14,847.16 is: 20,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.92 : 36,961.22 = 14,847.16 : x
  2. Step 2: Convert to fraction form
    26,783.92/36,961.22 = 14,847.16/x
  3. Step 3: Cross multiply
    26,783.92x = 36,961.22 × 14,847.16
  4. Step 4: Simplify right side
    26,783.92x = 548,769,147.14
  5. Step 5: Solve for x
    x = 548,769,147.14/26,783.92
  6. Step 6: Final answer
    x = 20,488.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.