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Finding the Fourth Proportional to 22,518.36, 33,778.02 and 6,936

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Solution

The fourth proportional to 22,518.36, 33,778.02 and 6,936 is: 10,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.36 : 33,778.02 = 6,936 : x
  2. Step 2: Convert to fraction form
    22,518.36/33,778.02 = 6,936/x
  3. Step 3: Cross multiply
    22,518.36x = 33,778.02 × 6,936
  4. Step 4: Simplify right side
    22,518.36x = 234,284,346.72
  5. Step 5: Solve for x
    x = 234,284,346.72/22,518.36
  6. Step 6: Final answer
    x = 10,404.15

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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.