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Finding the Fourth Proportional to 21,413.88, 29,561.08 and 12,458.12

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Solution

The fourth proportional to 21,413.88, 29,561.08 and 12,458.12 is: 17,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.88 : 29,561.08 = 12,458.12 : x
  2. Step 2: Convert to fraction form
    21,413.88/29,561.08 = 12,458.12/x
  3. Step 3: Cross multiply
    21,413.88x = 29,561.08 × 12,458.12
  4. Step 4: Simplify right side
    21,413.88x = 368,275,481.97
  5. Step 5: Solve for x
    x = 368,275,481.97/21,413.88
  6. Step 6: Final answer
    x = 17,197.98

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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.