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Finding the Fourth Proportional to 20,157.89, 27,818.91 and 11,205.57

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Solution

The fourth proportional to 20,157.89, 27,818.91 and 11,205.57 is: 15,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.89 : 27,818.91 = 11,205.57 : x
  2. Step 2: Convert to fraction form
    20,157.89/27,818.91 = 11,205.57/x
  3. Step 3: Cross multiply
    20,157.89x = 27,818.91 × 11,205.57
  4. Step 4: Simplify right side
    20,157.89x = 311,726,743.33
  5. Step 5: Solve for x
    x = 311,726,743.33/20,157.89
  6. Step 6: Final answer
    x = 15,464.26

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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.