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Finding the Fourth Proportional to 26,932, 40,399.44 and 8,465.44

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Solution

The fourth proportional to 26,932, 40,399.44 and 8,465.44 is: 12,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,932 : 40,399.44 = 8,465.44 : x
  2. Step 2: Convert to fraction form
    26,932/40,399.44 = 8,465.44/x
  3. Step 3: Cross multiply
    26,932x = 40,399.44 × 8,465.44
  4. Step 4: Simplify right side
    26,932x = 341,999,035.35
  5. Step 5: Solve for x
    x = 341,999,035.35/26,932
  6. Step 6: Final answer
    x = 12,698.61

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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.