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Finding the Fourth Proportional to 12,083.82, 16,669.98 and 8,548.98

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Solution

The fourth proportional to 12,083.82, 16,669.98 and 8,548.98 is: 11,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.82 : 16,669.98 = 8,548.98 : x
  2. Step 2: Convert to fraction form
    12,083.82/16,669.98 = 8,548.98/x
  3. Step 3: Cross multiply
    12,083.82x = 16,669.98 × 8,548.98
  4. Step 4: Simplify right side
    12,083.82x = 142,511,325.62
  5. Step 5: Solve for x
    x = 142,511,325.62/12,083.82
  6. Step 6: Final answer
    x = 11,793.57

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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.