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Finding the Fourth Proportional to 30,841.44, 42,563.40 and 17,413.80

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Solution

The fourth proportional to 30,841.44, 42,563.40 and 17,413.80 is: 24,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.44 : 42,563.40 = 17,413.80 : x
  2. Step 2: Convert to fraction form
    30,841.44/42,563.40 = 17,413.80/x
  3. Step 3: Cross multiply
    30,841.44x = 42,563.40 × 17,413.80
  4. Step 4: Simplify right side
    30,841.44x = 741,190,534.92
  5. Step 5: Solve for x
    x = 741,190,534.92/30,841.44
  6. Step 6: Final answer
    x = 24,032.29

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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.