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Finding the Fourth Proportional to 14,413.97, 19,891.31 and 8,126.33

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Solution

The fourth proportional to 14,413.97, 19,891.31 and 8,126.33 is: 11,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.97 : 19,891.31 = 8,126.33 : x
  2. Step 2: Convert to fraction form
    14,413.97/19,891.31 = 8,126.33/x
  3. Step 3: Cross multiply
    14,413.97x = 19,891.31 × 8,126.33
  4. Step 4: Simplify right side
    14,413.97x = 161,643,308.56
  5. Step 5: Solve for x
    x = 161,643,308.56/14,413.97
  6. Step 6: Final answer
    x = 11,214.35

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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.