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Finding the Fourth Proportional to 22,768.16, 34,131.42 and 7,969.01

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Solution

The fourth proportional to 22,768.16, 34,131.42 and 7,969.01 is: 11,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.16 : 34,131.42 = 7,969.01 : x
  2. Step 2: Convert to fraction form
    22,768.16/34,131.42 = 7,969.01/x
  3. Step 3: Cross multiply
    22,768.16x = 34,131.42 × 7,969.01
  4. Step 4: Simplify right side
    22,768.16x = 271,993,456.64
  5. Step 5: Solve for x
    x = 271,993,456.64/22,768.16
  6. Step 6: Final answer
    x = 11,946.22

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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.