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Finding the Fourth Proportional to 26,165.27, 36,108.75 and 14,229.30

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Solution

The fourth proportional to 26,165.27, 36,108.75 and 14,229.30 is: 19,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.27 : 36,108.75 = 14,229.30 : x
  2. Step 2: Convert to fraction form
    26,165.27/36,108.75 = 14,229.30/x
  3. Step 3: Cross multiply
    26,165.27x = 36,108.75 × 14,229.30
  4. Step 4: Simplify right side
    26,165.27x = 513,802,236.38
  5. Step 5: Solve for x
    x = 513,802,236.38/26,165.27
  6. Step 6: Final answer
    x = 19,636.80

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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.