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Finding the Fourth Proportional to 20,157.88, 27,818.08 and 11,205.76

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Solution

The fourth proportional to 20,157.88, 27,818.08 and 11,205.76 is: 15,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.88 : 27,818.08 = 11,205.76 : x
  2. Step 2: Convert to fraction form
    20,157.88/27,818.08 = 11,205.76/x
  3. Step 3: Cross multiply
    20,157.88x = 27,818.08 × 11,205.76
  4. Step 4: Simplify right side
    20,157.88x = 311,722,728.14
  5. Step 5: Solve for x
    x = 311,722,728.14/20,157.88
  6. Step 6: Final answer
    x = 15,464.06

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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.