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Finding the Fourth Proportional to 20,138.91, 27,790.50 and 11,186.19

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Solution

The fourth proportional to 20,138.91, 27,790.50 and 11,186.19 is: 15,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.91 : 27,790.50 = 11,186.19 : x
  2. Step 2: Convert to fraction form
    20,138.91/27,790.50 = 11,186.19/x
  3. Step 3: Cross multiply
    20,138.91x = 27,790.50 × 11,186.19
  4. Step 4: Simplify right side
    20,138.91x = 310,869,813.20
  5. Step 5: Solve for x
    x = 310,869,813.20/20,138.91
  6. Step 6: Final answer
    x = 15,436.28

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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.