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Finding the Fourth Proportional to 21,676.50, 32,515.68 and 6,885.09

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Solution

The fourth proportional to 21,676.50, 32,515.68 and 6,885.09 is: 10,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.50 : 32,515.68 = 6,885.09 : x
  2. Step 2: Convert to fraction form
    21,676.50/32,515.68 = 6,885.09/x
  3. Step 3: Cross multiply
    21,676.50x = 32,515.68 × 6,885.09
  4. Step 4: Simplify right side
    21,676.50x = 223,873,383.21
  5. Step 5: Solve for x
    x = 223,873,383.21/21,676.50
  6. Step 6: Final answer
    x = 10,327.93

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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.