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Finding the Fourth Proportional to 22,635.15, 33,930.86 and 7,832.94

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Solution

The fourth proportional to 22,635.15, 33,930.86 and 7,832.94 is: 11,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.15 : 33,930.86 = 7,832.94 : x
  2. Step 2: Convert to fraction form
    22,635.15/33,930.86 = 7,832.94/x
  3. Step 3: Cross multiply
    22,635.15x = 33,930.86 × 7,832.94
  4. Step 4: Simplify right side
    22,635.15x = 265,778,351.36
  5. Step 5: Solve for x
    x = 265,778,351.36/22,635.15
  6. Step 6: Final answer
    x = 11,741.84

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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.