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Finding the Fourth Proportional to 22,768.40, 34,131.79 and 7,969.25

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Solution

The fourth proportional to 22,768.40, 34,131.79 and 7,969.25 is: 11,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.40 : 34,131.79 = 7,969.25 : x
  2. Step 2: Convert to fraction form
    22,768.40/34,131.79 = 7,969.25/x
  3. Step 3: Cross multiply
    22,768.40x = 34,131.79 × 7,969.25
  4. Step 4: Simplify right side
    22,768.40x = 272,004,767.46
  5. Step 5: Solve for x
    x = 272,004,767.46/22,768.40
  6. Step 6: Final answer
    x = 11,946.59

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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.