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Finding the Fourth Proportional to 20,096.85, 27,735.30 and 11,145.27

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Solution

The fourth proportional to 20,096.85, 27,735.30 and 11,145.27 is: 15,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.85 : 27,735.30 = 11,145.27 : x
  2. Step 2: Convert to fraction form
    20,096.85/27,735.30 = 11,145.27/x
  3. Step 3: Cross multiply
    20,096.85x = 27,735.30 × 11,145.27
  4. Step 4: Simplify right side
    20,096.85x = 309,117,407.03
  5. Step 5: Solve for x
    x = 309,117,407.03/20,096.85
  6. Step 6: Final answer
    x = 15,381.39

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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.