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Finding the Fourth Proportional to 20,138.72, 27,790.86 and 11,186

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Solution

The fourth proportional to 20,138.72, 27,790.86 and 11,186 is: 15,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.72 : 27,790.86 = 11,186 : x
  2. Step 2: Convert to fraction form
    20,138.72/27,790.86 = 11,186/x
  3. Step 3: Cross multiply
    20,138.72x = 27,790.86 × 11,186
  4. Step 4: Simplify right side
    20,138.72x = 310,868,559.96
  5. Step 5: Solve for x
    x = 310,868,559.96/20,138.72
  6. Step 6: Final answer
    x = 15,436.36

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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.