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Finding the Fourth Proportional to 20,102.78, 27,741.90 and 11,151.12

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Solution

The fourth proportional to 20,102.78, 27,741.90 and 11,151.12 is: 15,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.78 : 27,741.90 = 11,151.12 : x
  2. Step 2: Convert to fraction form
    20,102.78/27,741.90 = 11,151.12/x
  3. Step 3: Cross multiply
    20,102.78x = 27,741.90 × 11,151.12
  4. Step 4: Simplify right side
    20,102.78x = 309,353,255.93
  5. Step 5: Solve for x
    x = 309,353,255.93/20,102.78
  6. Step 6: Final answer
    x = 15,388.58

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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.