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Finding the Fourth Proportional to 21,852, 32,778.09 and 8,001

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Solution

The fourth proportional to 21,852, 32,778.09 and 8,001 is: 12,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852 : 32,778.09 = 8,001 : x
  2. Step 2: Convert to fraction form
    21,852/32,778.09 = 8,001/x
  3. Step 3: Cross multiply
    21,852x = 32,778.09 × 8,001
  4. Step 4: Simplify right side
    21,852x = 262,257,498.09
  5. Step 5: Solve for x
    x = 262,257,498.09/21,852
  6. Step 6: Final answer
    x = 12,001.53

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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.