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Finding the Fourth Proportional to 23,984.73, 35,982 and 8,413.29

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Solution

The fourth proportional to 23,984.73, 35,982 and 8,413.29 is: 12,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.73 : 35,982 = 8,413.29 : x
  2. Step 2: Convert to fraction form
    23,984.73/35,982 = 8,413.29/x
  3. Step 3: Cross multiply
    23,984.73x = 35,982 × 8,413.29
  4. Step 4: Simplify right side
    23,984.73x = 302,727,000.78
  5. Step 5: Solve for x
    x = 302,727,000.78/23,984.73
  6. Step 6: Final answer
    x = 12,621.66

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Why These Related Problems?

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