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Finding the Fourth Proportional to 20,090.50, 27,723.04 and 11,590.67

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Solution

The fourth proportional to 20,090.50, 27,723.04 and 11,590.67 is: 15,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.50 : 27,723.04 = 11,590.67 : x
  2. Step 2: Convert to fraction form
    20,090.50/27,723.04 = 11,590.67/x
  3. Step 3: Cross multiply
    20,090.50x = 27,723.04 × 11,590.67
  4. Step 4: Simplify right side
    20,090.50x = 321,328,735.54
  5. Step 5: Solve for x
    x = 321,328,735.54/20,090.50
  6. Step 6: Final answer
    x = 15,994.06

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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.