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Finding the Fourth Proportional to 30,413.84, 41,965.98 and 16,984.60

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Solution

The fourth proportional to 30,413.84, 41,965.98 and 16,984.60 is: 23,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.84 : 41,965.98 = 16,984.60 : x
  2. Step 2: Convert to fraction form
    30,413.84/41,965.98 = 16,984.60/x
  3. Step 3: Cross multiply
    30,413.84x = 41,965.98 × 16,984.60
  4. Step 4: Simplify right side
    30,413.84x = 712,775,383.91
  5. Step 5: Solve for x
    x = 712,775,383.91/30,413.84
  6. Step 6: Final answer
    x = 23,435.89

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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.