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Finding the Fourth Proportional to 23,782.98, 32,821.10 and 13,173.41

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Solution

The fourth proportional to 23,782.98, 32,821.10 and 13,173.41 is: 18,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.98 : 32,821.10 = 13,173.41 : x
  2. Step 2: Convert to fraction form
    23,782.98/32,821.10 = 13,173.41/x
  3. Step 3: Cross multiply
    23,782.98x = 32,821.10 × 13,173.41
  4. Step 4: Simplify right side
    23,782.98x = 432,365,576.98
  5. Step 5: Solve for x
    x = 432,365,576.98/23,782.98
  6. Step 6: Final answer
    x = 18,179.62

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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.