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Finding the Fourth Proportional to 12,190.47, 16,823.61 and 7,413.78

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Solution

The fourth proportional to 12,190.47, 16,823.61 and 7,413.78 is: 10,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.47 : 16,823.61 = 7,413.78 : x
  2. Step 2: Convert to fraction form
    12,190.47/16,823.61 = 7,413.78/x
  3. Step 3: Cross multiply
    12,190.47x = 16,823.61 × 7,413.78
  4. Step 4: Simplify right side
    12,190.47x = 124,726,543.35
  5. Step 5: Solve for x
    x = 124,726,543.35/12,190.47
  6. Step 6: Final answer
    x = 10,231.48

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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.