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Finding the Fourth Proportional to 20,102.69, 27,739.90 and 11,150.17

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Solution

The fourth proportional to 20,102.69, 27,739.90 and 11,150.17 is: 15,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.69 : 27,739.90 = 11,150.17 : x
  2. Step 2: Convert to fraction form
    20,102.69/27,739.90 = 11,150.17/x
  3. Step 3: Cross multiply
    20,102.69x = 27,739.90 × 11,150.17
  4. Step 4: Simplify right side
    20,102.69x = 309,304,600.78
  5. Step 5: Solve for x
    x = 309,304,600.78/20,102.69
  6. Step 6: Final answer
    x = 15,386.23

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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.