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Finding the Fourth Proportional to 13,822.83, 20,737.82 and 3,962.83

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Solution

The fourth proportional to 13,822.83, 20,737.82 and 3,962.83 is: 5,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.83 : 20,737.82 = 3,962.83 : x
  2. Step 2: Convert to fraction form
    13,822.83/20,737.82 = 3,962.83/x
  3. Step 3: Cross multiply
    13,822.83x = 20,737.82 × 3,962.83
  4. Step 4: Simplify right side
    13,822.83x = 82,180,455.23
  5. Step 5: Solve for x
    x = 82,180,455.23/13,822.83
  6. Step 6: Final answer
    x = 5,945.27

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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.