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Finding the Fourth Proportional to 13,912.08, 19,204.68 and 8,322

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Solution

The fourth proportional to 13,912.08, 19,204.68 and 8,322 is: 11,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.08 : 19,204.68 = 8,322 : x
  2. Step 2: Convert to fraction form
    13,912.08/19,204.68 = 8,322/x
  3. Step 3: Cross multiply
    13,912.08x = 19,204.68 × 8,322
  4. Step 4: Simplify right side
    13,912.08x = 159,821,346.96
  5. Step 5: Solve for x
    x = 159,821,346.96/13,912.08
  6. Step 6: Final answer
    x = 11,487.95

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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.