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Finding the Fourth Proportional to 20,157.96, 27,816.77 and 11,205.15

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Solution

The fourth proportional to 20,157.96, 27,816.77 and 11,205.15 is: 15,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.96 : 27,816.77 = 11,205.15 : x
  2. Step 2: Convert to fraction form
    20,157.96/27,816.77 = 11,205.15/x
  3. Step 3: Cross multiply
    20,157.96x = 27,816.77 × 11,205.15
  4. Step 4: Simplify right side
    20,157.96x = 311,691,024.34
  5. Step 5: Solve for x
    x = 311,691,024.34/20,157.96
  6. Step 6: Final answer
    x = 15,462.43

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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.