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Finding the Fourth Proportional to 30,413.65, 41,969.97 and 16,801.42

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Solution

The fourth proportional to 30,413.65, 41,969.97 and 16,801.42 is: 23,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.65 : 41,969.97 = 16,801.42 : x
  2. Step 2: Convert to fraction form
    30,413.65/41,969.97 = 16,801.42/x
  3. Step 3: Cross multiply
    30,413.65x = 41,969.97 × 16,801.42
  4. Step 4: Simplify right side
    30,413.65x = 705,155,009.35
  5. Step 5: Solve for x
    x = 705,155,009.35/30,413.65
  6. Step 6: Final answer
    x = 23,185.48

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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.