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Finding the Fourth Proportional to 12,796.44, 19,197.28 and 5,400.92

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Solution

The fourth proportional to 12,796.44, 19,197.28 and 5,400.92 is: 8,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.44 : 19,197.28 = 5,400.92 : x
  2. Step 2: Convert to fraction form
    12,796.44/19,197.28 = 5,400.92/x
  3. Step 3: Cross multiply
    12,796.44x = 19,197.28 × 5,400.92
  4. Step 4: Simplify right side
    12,796.44x = 103,682,973.50
  5. Step 5: Solve for x
    x = 103,682,973.50/12,796.44
  6. Step 6: Final answer
    x = 8,102.49

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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.