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Finding the Fourth Proportional to 30,413.67, 41,966.07 and 16,984.28

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Solution

The fourth proportional to 30,413.67, 41,966.07 and 16,984.28 is: 23,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.67 : 41,966.07 = 16,984.28 : x
  2. Step 2: Convert to fraction form
    30,413.67/41,966.07 = 16,984.28/x
  3. Step 3: Cross multiply
    30,413.67x = 41,966.07 × 16,984.28
  4. Step 4: Simplify right side
    30,413.67x = 712,763,273.55
  5. Step 5: Solve for x
    x = 712,763,273.55/30,413.67
  6. Step 6: Final answer
    x = 23,435.62

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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.