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Finding the Fourth Proportional to 26,854.86, 40,284.33 and 8,136.44

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Solution

The fourth proportional to 26,854.86, 40,284.33 and 8,136.44 is: 12,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.86 : 40,284.33 = 8,136.44 : x
  2. Step 2: Convert to fraction form
    26,854.86/40,284.33 = 8,136.44/x
  3. Step 3: Cross multiply
    26,854.86x = 40,284.33 × 8,136.44
  4. Step 4: Simplify right side
    26,854.86x = 327,771,165.21
  5. Step 5: Solve for x
    x = 327,771,165.21/26,854.86
  6. Step 6: Final answer
    x = 12,205.29

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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.