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Finding the Fourth Proportional to 26,914, 40,377.48 and 8,446

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Solution

The fourth proportional to 26,914, 40,377.48 and 8,446 is: 12,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914 : 40,377.48 = 8,446 : x
  2. Step 2: Convert to fraction form
    26,914/40,377.48 = 8,446/x
  3. Step 3: Cross multiply
    26,914x = 40,377.48 × 8,446
  4. Step 4: Simplify right side
    26,914x = 341,028,196.08
  5. Step 5: Solve for x
    x = 341,028,196.08/26,914
  6. Step 6: Final answer
    x = 12,671.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.