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Finding the Fourth Proportional to 13,896.50, 19,164.20 and 8,855.46

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Solution

The fourth proportional to 13,896.50, 19,164.20 and 8,855.46 is: 12,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.50 : 19,164.20 = 8,855.46 : x
  2. Step 2: Convert to fraction form
    13,896.50/19,164.20 = 8,855.46/x
  3. Step 3: Cross multiply
    13,896.50x = 19,164.20 × 8,855.46
  4. Step 4: Simplify right side
    13,896.50x = 169,707,762.25
  5. Step 5: Solve for x
    x = 169,707,762.25/13,896.50
  6. Step 6: Final answer
    x = 12,212.27

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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.