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Finding the Fourth Proportional to 13,827.84, 20,745.32 and 3,967.84

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Solution

The fourth proportional to 13,827.84, 20,745.32 and 3,967.84 is: 5,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.84 : 20,745.32 = 3,967.84 : x
  2. Step 2: Convert to fraction form
    13,827.84/20,745.32 = 3,967.84/x
  3. Step 3: Cross multiply
    13,827.84x = 20,745.32 × 3,967.84
  4. Step 4: Simplify right side
    13,827.84x = 82,314,110.51
  5. Step 5: Solve for x
    x = 82,314,110.51/13,827.84
  6. Step 6: Final answer
    x = 5,952.78

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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.