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Finding the Fourth Proportional to 13,940.50, 19,236.97 and 8,274.95

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Solution

The fourth proportional to 13,940.50, 19,236.97 and 8,274.95 is: 11,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.50 : 19,236.97 = 8,274.95 : x
  2. Step 2: Convert to fraction form
    13,940.50/19,236.97 = 8,274.95/x
  3. Step 3: Cross multiply
    13,940.50x = 19,236.97 × 8,274.95
  4. Step 4: Simplify right side
    13,940.50x = 159,184,992.31
  5. Step 5: Solve for x
    x = 159,184,992.31/13,940.50
  6. Step 6: Final answer
    x = 11,418.89

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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.