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Finding the Fourth Proportional to 26,450.74, 36,500.77 and 14,513.82

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Solution

The fourth proportional to 26,450.74, 36,500.77 and 14,513.82 is: 20,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450.74 : 36,500.77 = 14,513.82 : x
  2. Step 2: Convert to fraction form
    26,450.74/36,500.77 = 14,513.82/x
  3. Step 3: Cross multiply
    26,450.74x = 36,500.77 × 14,513.82
  4. Step 4: Simplify right side
    26,450.74x = 529,765,605.64
  5. Step 5: Solve for x
    x = 529,765,605.64/26,450.74
  6. Step 6: Final answer
    x = 20,028.39

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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.