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Finding the Fourth Proportional to 26,019.38, 35,906.67 and 14,082.71

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Solution

The fourth proportional to 26,019.38, 35,906.67 and 14,082.71 is: 19,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019.38 : 35,906.67 = 14,082.71 : x
  2. Step 2: Convert to fraction form
    26,019.38/35,906.67 = 14,082.71/x
  3. Step 3: Cross multiply
    26,019.38x = 35,906.67 × 14,082.71
  4. Step 4: Simplify right side
    26,019.38x = 505,663,175.79
  5. Step 5: Solve for x
    x = 505,663,175.79/26,019.38
  6. Step 6: Final answer
    x = 19,434.10

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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.