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Finding the Fourth Proportional to 21,143.72, 31,712.83 and 7,994.38

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Solution

The fourth proportional to 21,143.72, 31,712.83 and 7,994.38 is: 11,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.72 : 31,712.83 = 7,994.38 : x
  2. Step 2: Convert to fraction form
    21,143.72/31,712.83 = 7,994.38/x
  3. Step 3: Cross multiply
    21,143.72x = 31,712.83 × 7,994.38
  4. Step 4: Simplify right side
    21,143.72x = 253,524,413.90
  5. Step 5: Solve for x
    x = 253,524,413.90/21,143.72
  6. Step 6: Final answer
    x = 11,990.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.