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Finding the Fourth Proportional to 20,102.42, 27,740.90 and 11,149.73

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Solution

The fourth proportional to 20,102.42, 27,740.90 and 11,149.73 is: 15,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.42 : 27,740.90 = 11,149.73 : x
  2. Step 2: Convert to fraction form
    20,102.42/27,740.90 = 11,149.73/x
  3. Step 3: Cross multiply
    20,102.42x = 27,740.90 × 11,149.73
  4. Step 4: Simplify right side
    20,102.42x = 309,303,434.13
  5. Step 5: Solve for x
    x = 309,303,434.13/20,102.42
  6. Step 6: Final answer
    x = 15,386.38

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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.