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Finding the Fourth Proportional to 20,157.54, 27,817.51 and 11,205.88

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Solution

The fourth proportional to 20,157.54, 27,817.51 and 11,205.88 is: 15,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.54 : 27,817.51 = 11,205.88 : x
  2. Step 2: Convert to fraction form
    20,157.54/27,817.51 = 11,205.88/x
  3. Step 3: Cross multiply
    20,157.54x = 27,817.51 × 11,205.88
  4. Step 4: Simplify right side
    20,157.54x = 311,719,678.96
  5. Step 5: Solve for x
    x = 311,719,678.96/20,157.54
  6. Step 6: Final answer
    x = 15,464.17

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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.