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Finding the Fourth Proportional to 13,753.84, 20,634.23 and 3,893.20

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Solution

The fourth proportional to 13,753.84, 20,634.23 and 3,893.20 is: 5,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.84 : 20,634.23 = 3,893.20 : x
  2. Step 2: Convert to fraction form
    13,753.84/20,634.23 = 3,893.20/x
  3. Step 3: Cross multiply
    13,753.84x = 20,634.23 × 3,893.20
  4. Step 4: Simplify right side
    13,753.84x = 80,333,223.96
  5. Step 5: Solve for x
    x = 80,333,223.96/13,753.84
  6. Step 6: Final answer
    x = 5,840.79

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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.