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Finding the Fourth Proportional to 13,767.99, 20,652.77 and 3,906.50

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Solution

The fourth proportional to 13,767.99, 20,652.77 and 3,906.50 is: 5,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.99 : 20,652.77 = 3,906.50 : x
  2. Step 2: Convert to fraction form
    13,767.99/20,652.77 = 3,906.50/x
  3. Step 3: Cross multiply
    13,767.99x = 20,652.77 × 3,906.50
  4. Step 4: Simplify right side
    13,767.99x = 80,679,952.51
  5. Step 5: Solve for x
    x = 80,679,952.51/13,767.99
  6. Step 6: Final answer
    x = 5,859.97

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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.