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Finding the Fourth Proportional to 20,096.64, 27,733.45 and 11,144.98

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Solution

The fourth proportional to 20,096.64, 27,733.45 and 11,144.98 is: 15,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.64 : 27,733.45 = 11,144.98 : x
  2. Step 2: Convert to fraction form
    20,096.64/27,733.45 = 11,144.98/x
  3. Step 3: Cross multiply
    20,096.64x = 27,733.45 × 11,144.98
  4. Step 4: Simplify right side
    20,096.64x = 309,088,745.58
  5. Step 5: Solve for x
    x = 309,088,745.58/20,096.64
  6. Step 6: Final answer
    x = 15,380.12

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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.