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Finding the Fourth Proportional to 21,846, 30,146.94 and 12,413.28

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Solution

The fourth proportional to 21,846, 30,146.94 and 12,413.28 is: 17,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 30,146.94 = 12,413.28 : x
  2. Step 2: Convert to fraction form
    21,846/30,146.94 = 12,413.28/x
  3. Step 3: Cross multiply
    21,846x = 30,146.94 × 12,413.28
  4. Step 4: Simplify right side
    21,846x = 374,222,407.36
  5. Step 5: Solve for x
    x = 374,222,407.36/21,846
  6. Step 6: Final answer
    x = 17,130.02

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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.