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Finding the Fourth Proportional to 39,413.41, 54,391.67 and 21,509.57

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Solution

The fourth proportional to 39,413.41, 54,391.67 and 21,509.57 is: 29,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413.41 : 54,391.67 = 21,509.57 : x
  2. Step 2: Convert to fraction form
    39,413.41/54,391.67 = 21,509.57/x
  3. Step 3: Cross multiply
    39,413.41x = 54,391.67 × 21,509.57
  4. Step 4: Simplify right side
    39,413.41x = 1,169,941,433.28
  5. Step 5: Solve for x
    x = 1,169,941,433.28/39,413.41
  6. Step 6: Final answer
    x = 29,683.84

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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.