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Finding the Fourth Proportional to 20,157.60, 27,817.29 and 11,204.88

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Solution

The fourth proportional to 20,157.60, 27,817.29 and 11,204.88 is: 15,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.60 : 27,817.29 = 11,204.88 : x
  2. Step 2: Convert to fraction form
    20,157.60/27,817.29 = 11,204.88/x
  3. Step 3: Cross multiply
    20,157.60x = 27,817.29 × 11,204.88
  4. Step 4: Simplify right side
    20,157.60x = 311,689,396.38
  5. Step 5: Solve for x
    x = 311,689,396.38/20,157.60
  6. Step 6: Final answer
    x = 15,462.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.