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Finding the Fourth Proportional to 13,682.96, 18,884.24 and 8,379.08

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Solution

The fourth proportional to 13,682.96, 18,884.24 and 8,379.08 is: 11,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.96 : 18,884.24 = 8,379.08 : x
  2. Step 2: Convert to fraction form
    13,682.96/18,884.24 = 8,379.08/x
  3. Step 3: Cross multiply
    13,682.96x = 18,884.24 × 8,379.08
  4. Step 4: Simplify right side
    13,682.96x = 158,232,557.70
  5. Step 5: Solve for x
    x = 158,232,557.70/13,682.96
  6. Step 6: Final answer
    x = 11,564.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.