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Finding the Fourth Proportional to 12,729.74, 19,093.37 and 7,796.84

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Solution

The fourth proportional to 12,729.74, 19,093.37 and 7,796.84 is: 11,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.74 : 19,093.37 = 7,796.84 : x
  2. Step 2: Convert to fraction form
    12,729.74/19,093.37 = 7,796.84/x
  3. Step 3: Cross multiply
    12,729.74x = 19,093.37 × 7,796.84
  4. Step 4: Simplify right side
    12,729.74x = 148,867,816.50
  5. Step 5: Solve for x
    x = 148,867,816.50/12,729.74
  6. Step 6: Final answer
    x = 11,694.49

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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.