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Finding the Fourth Proportional to 12,120.41, 16,725.98 and 6,815.23

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Solution

The fourth proportional to 12,120.41, 16,725.98 and 6,815.23 is: 9,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.41 : 16,725.98 = 6,815.23 : x
  2. Step 2: Convert to fraction form
    12,120.41/16,725.98 = 6,815.23/x
  3. Step 3: Cross multiply
    12,120.41x = 16,725.98 × 6,815.23
  4. Step 4: Simplify right side
    12,120.41x = 113,991,375.90
  5. Step 5: Solve for x
    x = 113,991,375.90/12,120.41
  6. Step 6: Final answer
    x = 9,404.91

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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.