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Finding the Fourth Proportional to 13,887.10, 19,163.84 and 8,221.94

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Solution

The fourth proportional to 13,887.10, 19,163.84 and 8,221.94 is: 11,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.10 : 19,163.84 = 8,221.94 : x
  2. Step 2: Convert to fraction form
    13,887.10/19,163.84 = 8,221.94/x
  3. Step 3: Cross multiply
    13,887.10x = 19,163.84 × 8,221.94
  4. Step 4: Simplify right side
    13,887.10x = 157,563,942.65
  5. Step 5: Solve for x
    x = 157,563,942.65/13,887.10
  6. Step 6: Final answer
    x = 11,346.07

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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.