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Finding the Fourth Proportional to 16,729.96, 23,087.46 and 9,278.44

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Solution

The fourth proportional to 16,729.96, 23,087.46 and 9,278.44 is: 12,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.96 : 23,087.46 = 9,278.44 : x
  2. Step 2: Convert to fraction form
    16,729.96/23,087.46 = 9,278.44/x
  3. Step 3: Cross multiply
    16,729.96x = 23,087.46 × 9,278.44
  4. Step 4: Simplify right side
    16,729.96x = 214,215,612.36
  5. Step 5: Solve for x
    x = 214,215,612.36/16,729.96
  6. Step 6: Final answer
    x = 12,804.31

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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.