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Finding the Fourth Proportional to 20,090.40, 27,719 and 11,591.84

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Solution

The fourth proportional to 20,090.40, 27,719 and 11,591.84 is: 15,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.40 : 27,719 = 11,591.84 : x
  2. Step 2: Convert to fraction form
    20,090.40/27,719 = 11,591.84/x
  3. Step 3: Cross multiply
    20,090.40x = 27,719 × 11,591.84
  4. Step 4: Simplify right side
    20,090.40x = 321,314,212.96
  5. Step 5: Solve for x
    x = 321,314,212.96/20,090.40
  6. Step 6: Final answer
    x = 15,993.42

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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.