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Finding the Fourth Proportional to 12,846.18, 19,205.98 and 10,893.60

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Solution

The fourth proportional to 12,846.18, 19,205.98 and 10,893.60 is: 16,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.18 : 19,205.98 = 10,893.60 : x
  2. Step 2: Convert to fraction form
    12,846.18/19,205.98 = 10,893.60/x
  3. Step 3: Cross multiply
    12,846.18x = 19,205.98 × 10,893.60
  4. Step 4: Simplify right side
    12,846.18x = 209,222,263.73
  5. Step 5: Solve for x
    x = 209,222,263.73/12,846.18
  6. Step 6: Final answer
    x = 16,286.73

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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.