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Finding the Fourth Proportional to 20,059.63, 30,093.50 and 13,822.63

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Solution

The fourth proportional to 20,059.63, 30,093.50 and 13,822.63 is: 20,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.63 : 30,093.50 = 13,822.63 : x
  2. Step 2: Convert to fraction form
    20,059.63/30,093.50 = 13,822.63/x
  3. Step 3: Cross multiply
    20,059.63x = 30,093.50 × 13,822.63
  4. Step 4: Simplify right side
    20,059.63x = 415,971,315.91
  5. Step 5: Solve for x
    x = 415,971,315.91/20,059.63
  6. Step 6: Final answer
    x = 20,736.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.