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Finding the Fourth Proportional to 26,137.14, 39,205.68 and 8,611.98

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Solution

The fourth proportional to 26,137.14, 39,205.68 and 8,611.98 is: 12,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137.14 : 39,205.68 = 8,611.98 : x
  2. Step 2: Convert to fraction form
    26,137.14/39,205.68 = 8,611.98/x
  3. Step 3: Cross multiply
    26,137.14x = 39,205.68 × 8,611.98
  4. Step 4: Simplify right side
    26,137.14x = 337,638,532.05
  5. Step 5: Solve for x
    x = 337,638,532.05/26,137.14
  6. Step 6: Final answer
    x = 12,917.96

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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.