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Finding the Fourth Proportional to 26,530, 36,609 and 14,593.84

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Solution

The fourth proportional to 26,530, 36,609 and 14,593.84 is: 20,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530 : 36,609 = 14,593.84 : x
  2. Step 2: Convert to fraction form
    26,530/36,609 = 14,593.84/x
  3. Step 3: Cross multiply
    26,530x = 36,609 × 14,593.84
  4. Step 4: Simplify right side
    26,530x = 534,265,888.56
  5. Step 5: Solve for x
    x = 534,265,888.56/26,530
  6. Step 6: Final answer
    x = 20,138.18

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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.