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Finding the Fourth Proportional to 20,096.96, 27,733.44 and 11,144

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Solution

The fourth proportional to 20,096.96, 27,733.44 and 11,144 is: 15,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.96 : 27,733.44 = 11,144 : x
  2. Step 2: Convert to fraction form
    20,096.96/27,733.44 = 11,144/x
  3. Step 3: Cross multiply
    20,096.96x = 27,733.44 × 11,144
  4. Step 4: Simplify right side
    20,096.96x = 309,061,455.36
  5. Step 5: Solve for x
    x = 309,061,455.36/20,096.96
  6. Step 6: Final answer
    x = 15,378.52

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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.