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Finding the Fourth Proportional to 20,157.67, 27,817.09 and 11,205.10

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Solution

The fourth proportional to 20,157.67, 27,817.09 and 11,205.10 is: 15,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.67 : 27,817.09 = 11,205.10 : x
  2. Step 2: Convert to fraction form
    20,157.67/27,817.09 = 11,205.10/x
  3. Step 3: Cross multiply
    20,157.67x = 27,817.09 × 11,205.10
  4. Step 4: Simplify right side
    20,157.67x = 311,693,275.16
  5. Step 5: Solve for x
    x = 311,693,275.16/20,157.67
  6. Step 6: Final answer
    x = 15,462.76

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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.