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Finding the Fourth Proportional to 13,255.95, 19,884.09 and 3,394.97

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Solution

The fourth proportional to 13,255.95, 19,884.09 and 3,394.97 is: 5,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.95 : 19,884.09 = 3,394.97 : x
  2. Step 2: Convert to fraction form
    13,255.95/19,884.09 = 3,394.97/x
  3. Step 3: Cross multiply
    13,255.95x = 19,884.09 × 3,394.97
  4. Step 4: Simplify right side
    13,255.95x = 67,505,889.03
  5. Step 5: Solve for x
    x = 67,505,889.03/13,255.95
  6. Step 6: Final answer
    x = 5,092.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.