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Finding the Fourth Proportional to 26,459.38, 36,514.70 and 14,523.49

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Solution

The fourth proportional to 26,459.38, 36,514.70 and 14,523.49 is: 20,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,459.38 : 36,514.70 = 14,523.49 : x
  2. Step 2: Convert to fraction form
    26,459.38/36,514.70 = 14,523.49/x
  3. Step 3: Cross multiply
    26,459.38x = 36,514.70 × 14,523.49
  4. Step 4: Simplify right side
    26,459.38x = 530,320,880.30
  5. Step 5: Solve for x
    x = 530,320,880.30/26,459.38
  6. Step 6: Final answer
    x = 20,042.83

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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.