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Finding the Fourth Proportional to 12,102.89, 16,698.38 and 7,324.60

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Solution

The fourth proportional to 12,102.89, 16,698.38 and 7,324.60 is: 10,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.89 : 16,698.38 = 7,324.60 : x
  2. Step 2: Convert to fraction form
    12,102.89/16,698.38 = 7,324.60/x
  3. Step 3: Cross multiply
    12,102.89x = 16,698.38 × 7,324.60
  4. Step 4: Simplify right side
    12,102.89x = 122,308,954.15
  5. Step 5: Solve for x
    x = 122,308,954.15/12,102.89
  6. Step 6: Final answer
    x = 10,105.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.