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Finding the Fourth Proportional to 20,141.46, 27,796.41 and 11,188.98

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Solution

The fourth proportional to 20,141.46, 27,796.41 and 11,188.98 is: 15,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.46 : 27,796.41 = 11,188.98 : x
  2. Step 2: Convert to fraction form
    20,141.46/27,796.41 = 11,188.98/x
  3. Step 3: Cross multiply
    20,141.46x = 27,796.41 × 11,188.98
  4. Step 4: Simplify right side
    20,141.46x = 311,013,475.56
  5. Step 5: Solve for x
    x = 311,013,475.56/20,141.46
  6. Step 6: Final answer
    x = 15,441.46

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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.