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Finding the Fourth Proportional to 23,288, 32,136.36 and 12,676.96

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Solution

The fourth proportional to 23,288, 32,136.36 and 12,676.96 is: 17,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288 : 32,136.36 = 12,676.96 : x
  2. Step 2: Convert to fraction form
    23,288/32,136.36 = 12,676.96/x
  3. Step 3: Cross multiply
    23,288x = 32,136.36 × 12,676.96
  4. Step 4: Simplify right side
    23,288x = 407,391,350.27
  5. Step 5: Solve for x
    x = 407,391,350.27/23,288
  6. Step 6: Final answer
    x = 17,493.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.