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Finding the Fourth Proportional to 21,314.16, 31,990.94 and 10,791.57

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Solution

The fourth proportional to 21,314.16, 31,990.94 and 10,791.57 is: 16,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.16 : 31,990.94 = 10,791.57 : x
  2. Step 2: Convert to fraction form
    21,314.16/31,990.94 = 10,791.57/x
  3. Step 3: Cross multiply
    21,314.16x = 31,990.94 × 10,791.57
  4. Step 4: Simplify right side
    21,314.16x = 345,232,414.42
  5. Step 5: Solve for x
    x = 345,232,414.42/21,314.16
  6. Step 6: Final answer
    x = 16,197.33

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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.