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Finding the Fourth Proportional to 21,413.97, 29,549.20 and 12,462.66

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Solution

The fourth proportional to 21,413.97, 29,549.20 and 12,462.66 is: 17,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.97 : 29,549.20 = 12,462.66 : x
  2. Step 2: Convert to fraction form
    21,413.97/29,549.20 = 12,462.66/x
  3. Step 3: Cross multiply
    21,413.97x = 29,549.20 × 12,462.66
  4. Step 4: Simplify right side
    21,413.97x = 368,261,632.87
  5. Step 5: Solve for x
    x = 368,261,632.87/21,413.97
  6. Step 6: Final answer
    x = 17,197.26

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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.