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Finding the Fourth Proportional to 12,640.80, 18,982.80 and 8,277.60

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Solution

The fourth proportional to 12,640.80, 18,982.80 and 8,277.60 is: 12,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.80 : 18,982.80 = 8,277.60 : x
  2. Step 2: Convert to fraction form
    12,640.80/18,982.80 = 8,277.60/x
  3. Step 3: Cross multiply
    12,640.80x = 18,982.80 × 8,277.60
  4. Step 4: Simplify right side
    12,640.80x = 157,132,025.28
  5. Step 5: Solve for x
    x = 157,132,025.28/12,640.80
  6. Step 6: Final answer
    x = 12,430.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.