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Finding the Fourth Proportional to 23,794.56, 35,669.97 and 8,201.25

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Solution

The fourth proportional to 23,794.56, 35,669.97 and 8,201.25 is: 12,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.56 : 35,669.97 = 8,201.25 : x
  2. Step 2: Convert to fraction form
    23,794.56/35,669.97 = 8,201.25/x
  3. Step 3: Cross multiply
    23,794.56x = 35,669.97 × 8,201.25
  4. Step 4: Simplify right side
    23,794.56x = 292,538,341.46
  5. Step 5: Solve for x
    x = 292,538,341.46/23,794.56
  6. Step 6: Final answer
    x = 12,294.34

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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.