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Finding the Fourth Proportional to 20,021.50, 27,630.72 and 11,524.90

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Solution

The fourth proportional to 20,021.50, 27,630.72 and 11,524.90 is: 15,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021.50 : 27,630.72 = 11,524.90 : x
  2. Step 2: Convert to fraction form
    20,021.50/27,630.72 = 11,524.90/x
  3. Step 3: Cross multiply
    20,021.50x = 27,630.72 × 11,524.90
  4. Step 4: Simplify right side
    20,021.50x = 318,441,284.93
  5. Step 5: Solve for x
    x = 318,441,284.93/20,021.50
  6. Step 6: Final answer
    x = 15,904.97

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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.