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Finding the Fourth Proportional to 21,814.80, 32,738.40 and 8,676.60

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Solution

The fourth proportional to 21,814.80, 32,738.40 and 8,676.60 is: 13,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.80 : 32,738.40 = 8,676.60 : x
  2. Step 2: Convert to fraction form
    21,814.80/32,738.40 = 8,676.60/x
  3. Step 3: Cross multiply
    21,814.80x = 32,738.40 × 8,676.60
  4. Step 4: Simplify right side
    21,814.80x = 284,058,001.44
  5. Step 5: Solve for x
    x = 284,058,001.44/21,814.80
  6. Step 6: Final answer
    x = 13,021.34

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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.