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Finding the Fourth Proportional to 20,049.36, 27,667.95 and 11,096.64

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Solution

The fourth proportional to 20,049.36, 27,667.95 and 11,096.64 is: 15,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.36 : 27,667.95 = 11,096.64 : x
  2. Step 2: Convert to fraction form
    20,049.36/27,667.95 = 11,096.64/x
  3. Step 3: Cross multiply
    20,049.36x = 27,667.95 × 11,096.64
  4. Step 4: Simplify right side
    20,049.36x = 307,021,280.69
  5. Step 5: Solve for x
    x = 307,021,280.69/20,049.36
  6. Step 6: Final answer
    x = 15,313.27

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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.