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Finding the Fourth Proportional to 22,493.22, 33,739.95 and 5,852.22

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Solution

The fourth proportional to 22,493.22, 33,739.95 and 5,852.22 is: 8,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.22 : 33,739.95 = 5,852.22 : x
  2. Step 2: Convert to fraction form
    22,493.22/33,739.95 = 5,852.22/x
  3. Step 3: Cross multiply
    22,493.22x = 33,739.95 × 5,852.22
  4. Step 4: Simplify right side
    22,493.22x = 197,453,610.19
  5. Step 5: Solve for x
    x = 197,453,610.19/22,493.22
  6. Step 6: Final answer
    x = 8,778.36

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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.