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Finding the Fourth Proportional to 31,413.12, 43,350.90 and 17,266.32

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Solution

The fourth proportional to 31,413.12, 43,350.90 and 17,266.32 is: 23,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.12 : 43,350.90 = 17,266.32 : x
  2. Step 2: Convert to fraction form
    31,413.12/43,350.90 = 17,266.32/x
  3. Step 3: Cross multiply
    31,413.12x = 43,350.90 × 17,266.32
  4. Step 4: Simplify right side
    31,413.12x = 748,510,511.69
  5. Step 5: Solve for x
    x = 748,510,511.69/31,413.12
  6. Step 6: Final answer
    x = 23,827.96

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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.