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Finding the Fourth Proportional to 26,782, 36,959.12 and 16,169.52

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Solution

The fourth proportional to 26,782, 36,959.12 and 16,169.52 is: 22,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782 : 36,959.12 = 16,169.52 : x
  2. Step 2: Convert to fraction form
    26,782/36,959.12 = 16,169.52/x
  3. Step 3: Cross multiply
    26,782x = 36,959.12 × 16,169.52
  4. Step 4: Simplify right side
    26,782x = 597,611,230.02
  5. Step 5: Solve for x
    x = 597,611,230.02/26,782
  6. Step 6: Final answer
    x = 22,313.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.