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Finding the Fourth Proportional to 30,735.09, 42,413.00 and 17,122.41

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Solution

The fourth proportional to 30,735.09, 42,413.00 and 17,122.41 is: 23,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.09 : 42,413.00 = 17,122.41 : x
  2. Step 2: Convert to fraction form
    30,735.09/42,413.00 = 17,122.41/x
  3. Step 3: Cross multiply
    30,735.09x = 42,413.00 × 17,122.41
  4. Step 4: Simplify right side
    30,735.09x = 726,212,689.72
  5. Step 5: Solve for x
    x = 726,212,689.72/30,735.09
  6. Step 6: Final answer
    x = 23,628.13

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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.