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Finding the Fourth Proportional to 12,796.86, 19,190.22 and 6,131.50

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Solution

The fourth proportional to 12,796.86, 19,190.22 and 6,131.50 is: 9,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.86 : 19,190.22 = 6,131.50 : x
  2. Step 2: Convert to fraction form
    12,796.86/19,190.22 = 6,131.50/x
  3. Step 3: Cross multiply
    12,796.86x = 19,190.22 × 6,131.50
  4. Step 4: Simplify right side
    12,796.86x = 117,664,833.93
  5. Step 5: Solve for x
    x = 117,664,833.93/12,796.86
  6. Step 6: Final answer
    x = 9,194.82

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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.