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Finding the Fourth Proportional to 12,951.80, 19,413.30 and 7,112.60

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Solution

The fourth proportional to 12,951.80, 19,413.30 and 7,112.60 is: 10,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.80 : 19,413.30 = 7,112.60 : x
  2. Step 2: Convert to fraction form
    12,951.80/19,413.30 = 7,112.60/x
  3. Step 3: Cross multiply
    12,951.80x = 19,413.30 × 7,112.60
  4. Step 4: Simplify right side
    12,951.80x = 138,079,037.58
  5. Step 5: Solve for x
    x = 138,079,037.58/12,951.80
  6. Step 6: Final answer
    x = 10,660.99

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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.