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Finding the Fourth Proportional to 16,873.95, 23,296 and 11,576.55

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Solution

The fourth proportional to 16,873.95, 23,296 and 11,576.55 is: 15,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873.95 : 23,296 = 11,576.55 : x
  2. Step 2: Convert to fraction form
    16,873.95/23,296 = 11,576.55/x
  3. Step 3: Cross multiply
    16,873.95x = 23,296 × 11,576.55
  4. Step 4: Simplify right side
    16,873.95x = 269,687,308.80
  5. Step 5: Solve for x
    x = 269,687,308.80/16,873.95
  6. Step 6: Final answer
    x = 15,982.46

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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.