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Finding the Fourth Proportional to 12,102.80, 16,700.20 and 7,323.60

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Solution

The fourth proportional to 12,102.80, 16,700.20 and 7,323.60 is: 10,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.80 : 16,700.20 = 7,323.60 : x
  2. Step 2: Convert to fraction form
    12,102.80/16,700.20 = 7,323.60/x
  3. Step 3: Cross multiply
    12,102.80x = 16,700.20 × 7,323.60
  4. Step 4: Simplify right side
    12,102.80x = 122,305,584.72
  5. Step 5: Solve for x
    x = 122,305,584.72/12,102.80
  6. Step 6: Final answer
    x = 10,105.56

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