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Finding the Fourth Proportional to 11,229.98, 16,823.08 and 6,836.54

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Solution

The fourth proportional to 11,229.98, 16,823.08 and 6,836.54 is: 10,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.98 : 16,823.08 = 6,836.54 : x
  2. Step 2: Convert to fraction form
    11,229.98/16,823.08 = 6,836.54/x
  3. Step 3: Cross multiply
    11,229.98x = 16,823.08 × 6,836.54
  4. Step 4: Simplify right side
    11,229.98x = 115,011,659.34
  5. Step 5: Solve for x
    x = 115,011,659.34/11,229.98
  6. Step 6: Final answer
    x = 10,241.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.