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Finding the Fourth Proportional to 26,461.38, 36,514.62 and 14,524.68

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Solution

The fourth proportional to 26,461.38, 36,514.62 and 14,524.68 is: 20,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,461.38 : 36,514.62 = 14,524.68 : x
  2. Step 2: Convert to fraction form
    26,461.38/36,514.62 = 14,524.68/x
  3. Step 3: Cross multiply
    26,461.38x = 36,514.62 × 14,524.68
  4. Step 4: Simplify right side
    26,461.38x = 530,363,170.82
  5. Step 5: Solve for x
    x = 530,363,170.82/26,461.38
  6. Step 6: Final answer
    x = 20,042.91

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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.