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Finding the Fourth Proportional to 22,469.24, 33,703.86 and 7,678.28

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Solution

The fourth proportional to 22,469.24, 33,703.86 and 7,678.28 is: 11,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.24 : 33,703.86 = 7,678.28 : x
  2. Step 2: Convert to fraction form
    22,469.24/33,703.86 = 7,678.28/x
  3. Step 3: Cross multiply
    22,469.24x = 33,703.86 × 7,678.28
  4. Step 4: Simplify right side
    22,469.24x = 258,787,674.16
  5. Step 5: Solve for x
    x = 258,787,674.16/22,469.24
  6. Step 6: Final answer
    x = 11,517.42

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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.