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Finding the Fourth Proportional to 26,535.97, 36,620.21 and 14,599.32

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Solution

The fourth proportional to 26,535.97, 36,620.21 and 14,599.32 is: 20,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,535.97 : 36,620.21 = 14,599.32 : x
  2. Step 2: Convert to fraction form
    26,535.97/36,620.21 = 14,599.32/x
  3. Step 3: Cross multiply
    26,535.97x = 36,620.21 × 14,599.32
  4. Step 4: Simplify right side
    26,535.97x = 534,630,063.43
  5. Step 5: Solve for x
    x = 534,630,063.43/26,535.97
  6. Step 6: Final answer
    x = 20,147.37

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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.