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Finding the Fourth Proportional to 22,618.72, 33,930.60 and 7,828.96

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Solution

The fourth proportional to 22,618.72, 33,930.60 and 7,828.96 is: 11,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.72 : 33,930.60 = 7,828.96 : x
  2. Step 2: Convert to fraction form
    22,618.72/33,930.60 = 7,828.96/x
  3. Step 3: Cross multiply
    22,618.72x = 33,930.60 × 7,828.96
  4. Step 4: Simplify right side
    22,618.72x = 265,641,310.18
  5. Step 5: Solve for x
    x = 265,641,310.18/22,618.72
  6. Step 6: Final answer
    x = 11,744.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.