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Finding the Fourth Proportional to 13,197.97, 19,798.26 and 3,838.08

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Solution

The fourth proportional to 13,197.97, 19,798.26 and 3,838.08 is: 5,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.97 : 19,798.26 = 3,838.08 : x
  2. Step 2: Convert to fraction form
    13,197.97/19,798.26 = 3,838.08/x
  3. Step 3: Cross multiply
    13,197.97x = 19,798.26 × 3,838.08
  4. Step 4: Simplify right side
    13,197.97x = 75,987,365.59
  5. Step 5: Solve for x
    x = 75,987,365.59/13,197.97
  6. Step 6: Final answer
    x = 5,757.50

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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.