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Finding the Fourth Proportional to 12,906.80, 17,816.20 and 7,601.84

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Solution

The fourth proportional to 12,906.80, 17,816.20 and 7,601.84 is: 10,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.80 : 17,816.20 = 7,601.84 : x
  2. Step 2: Convert to fraction form
    12,906.80/17,816.20 = 7,601.84/x
  3. Step 3: Cross multiply
    12,906.80x = 17,816.20 × 7,601.84
  4. Step 4: Simplify right side
    12,906.80x = 135,435,901.81
  5. Step 5: Solve for x
    x = 135,435,901.81/12,906.80
  6. Step 6: Final answer
    x = 10,493.38

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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.