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Finding the Fourth Proportional to 21,413.97, 32,124.60 and 6,422.04

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Solution

The fourth proportional to 21,413.97, 32,124.60 and 6,422.04 is: 9,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.97 : 32,124.60 = 6,422.04 : x
  2. Step 2: Convert to fraction form
    21,413.97/32,124.60 = 6,422.04/x
  3. Step 3: Cross multiply
    21,413.97x = 32,124.60 × 6,422.04
  4. Step 4: Simplify right side
    21,413.97x = 206,305,466.18
  5. Step 5: Solve for x
    x = 206,305,466.18/21,413.97
  6. Step 6: Final answer
    x = 9,634.15

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