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Finding the Fourth Proportional to 26,493, 39,739.59 and 8,025

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Solution

The fourth proportional to 26,493, 39,739.59 and 8,025 is: 12,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493 : 39,739.59 = 8,025 : x
  2. Step 2: Convert to fraction form
    26,493/39,739.59 = 8,025/x
  3. Step 3: Cross multiply
    26,493x = 39,739.59 × 8,025
  4. Step 4: Simplify right side
    26,493x = 318,910,209.75
  5. Step 5: Solve for x
    x = 318,910,209.75/26,493
  6. Step 6: Final answer
    x = 12,037.53

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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.