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Finding the Fourth Proportional to 20,135.68, 27,783.12 and 11,181.88

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Solution

The fourth proportional to 20,135.68, 27,783.12 and 11,181.88 is: 15,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.68 : 27,783.12 = 11,181.88 : x
  2. Step 2: Convert to fraction form
    20,135.68/27,783.12 = 11,181.88/x
  3. Step 3: Cross multiply
    20,135.68x = 27,783.12 × 11,181.88
  4. Step 4: Simplify right side
    20,135.68x = 310,667,513.87
  5. Step 5: Solve for x
    x = 310,667,513.87/20,135.68
  6. Step 6: Final answer
    x = 15,428.71

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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.