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Finding the Fourth Proportional to 20,142.96, 27,796.95 and 11,644.98

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Solution

The fourth proportional to 20,142.96, 27,796.95 and 11,644.98 is: 16,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.96 : 27,796.95 = 11,644.98 : x
  2. Step 2: Convert to fraction form
    20,142.96/27,796.95 = 11,644.98/x
  3. Step 3: Cross multiply
    20,142.96x = 27,796.95 × 11,644.98
  4. Step 4: Simplify right side
    20,142.96x = 323,694,926.81
  5. Step 5: Solve for x
    x = 323,694,926.81/20,142.96
  6. Step 6: Final answer
    x = 16,069.88

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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.