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Finding the Fourth Proportional to 26,993, 40,495.98 and 8,525

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Solution

The fourth proportional to 26,993, 40,495.98 and 8,525 is: 12,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,993 : 40,495.98 = 8,525 : x
  2. Step 2: Convert to fraction form
    26,993/40,495.98 = 8,525/x
  3. Step 3: Cross multiply
    26,993x = 40,495.98 × 8,525
  4. Step 4: Simplify right side
    26,993x = 345,228,229.50
  5. Step 5: Solve for x
    x = 345,228,229.50/26,993
  6. Step 6: Final answer
    x = 12,789.55

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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.