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Finding the Fourth Proportional to 13,887.14, 19,163.90 and 8,221.96

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Solution

The fourth proportional to 13,887.14, 19,163.90 and 8,221.96 is: 11,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.14 : 19,163.90 = 8,221.96 : x
  2. Step 2: Convert to fraction form
    13,887.14/19,163.90 = 8,221.96/x
  3. Step 3: Cross multiply
    13,887.14x = 19,163.90 × 8,221.96
  4. Step 4: Simplify right side
    13,887.14x = 157,564,819.24
  5. Step 5: Solve for x
    x = 157,564,819.24/13,887.14
  6. Step 6: Final answer
    x = 11,346.10

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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.