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Finding the Fourth Proportional to 20,083.84, 27,716.16 and 11,697.28

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Solution

The fourth proportional to 20,083.84, 27,716.16 and 11,697.28 is: 16,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.84 : 27,716.16 = 11,697.28 : x
  2. Step 2: Convert to fraction form
    20,083.84/27,716.16 = 11,697.28/x
  3. Step 3: Cross multiply
    20,083.84x = 27,716.16 × 11,697.28
  4. Step 4: Simplify right side
    20,083.84x = 324,203,684.04
  5. Step 5: Solve for x
    x = 324,203,684.04/20,083.84
  6. Step 6: Final answer
    x = 16,142.51

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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.