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Finding the Fourth Proportional to 13,967.96, 20,952.11 and 4,107.44

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Solution

The fourth proportional to 13,967.96, 20,952.11 and 4,107.44 is: 6,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.96 : 20,952.11 = 4,107.44 : x
  2. Step 2: Convert to fraction form
    13,967.96/20,952.11 = 4,107.44/x
  3. Step 3: Cross multiply
    13,967.96x = 20,952.11 × 4,107.44
  4. Step 4: Simplify right side
    13,967.96x = 86,059,597.35
  5. Step 5: Solve for x
    x = 86,059,597.35/13,967.96
  6. Step 6: Final answer
    x = 6,161.22

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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.