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Finding the Fourth Proportional to 22,467.76, 33,701.65 and 7,676.82

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Solution

The fourth proportional to 22,467.76, 33,701.65 and 7,676.82 is: 11,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.76 : 33,701.65 = 7,676.82 : x
  2. Step 2: Convert to fraction form
    22,467.76/33,701.65 = 7,676.82/x
  3. Step 3: Cross multiply
    22,467.76x = 33,701.65 × 7,676.82
  4. Step 4: Simplify right side
    22,467.76x = 258,721,481.56
  5. Step 5: Solve for x
    x = 258,721,481.56/22,467.76
  6. Step 6: Final answer
    x = 11,515.23

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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.