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Finding the Fourth Proportional to 13,822.36, 20,728.98 and 5,504.44

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Solution

The fourth proportional to 13,822.36, 20,728.98 and 5,504.44 is: 8,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.36 : 20,728.98 = 5,504.44 : x
  2. Step 2: Convert to fraction form
    13,822.36/20,728.98 = 5,504.44/x
  3. Step 3: Cross multiply
    13,822.36x = 20,728.98 × 5,504.44
  4. Step 4: Simplify right side
    13,822.36x = 114,101,426.67
  5. Step 5: Solve for x
    x = 114,101,426.67/13,822.36
  6. Step 6: Final answer
    x = 8,254.84

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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.