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Finding the Fourth Proportional to 22,046.97, 30,413.16 and 13,966.37

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Solution

The fourth proportional to 22,046.97, 30,413.16 and 13,966.37 is: 19,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.97 : 30,413.16 = 13,966.37 : x
  2. Step 2: Convert to fraction form
    22,046.97/30,413.16 = 13,966.37/x
  3. Step 3: Cross multiply
    22,046.97x = 30,413.16 × 13,966.37
  4. Step 4: Simplify right side
    22,046.97x = 424,761,355.04
  5. Step 5: Solve for x
    x = 424,761,355.04/22,046.97
  6. Step 6: Final answer
    x = 19,266.20

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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.