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Finding the Fourth Proportional to 21,783.75, 32,676.03 and 6,201.78

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Solution

The fourth proportional to 21,783.75, 32,676.03 and 6,201.78 is: 9,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.75 : 32,676.03 = 6,201.78 : x
  2. Step 2: Convert to fraction form
    21,783.75/32,676.03 = 6,201.78/x
  3. Step 3: Cross multiply
    21,783.75x = 32,676.03 × 6,201.78
  4. Step 4: Simplify right side
    21,783.75x = 202,649,549.33
  5. Step 5: Solve for x
    x = 202,649,549.33/21,783.75
  6. Step 6: Final answer
    x = 9,302.79

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