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Finding the Fourth Proportional to 26,178.36, 36,107.82 and 17,223

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Solution

The fourth proportional to 26,178.36, 36,107.82 and 17,223 is: 23,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178.36 : 36,107.82 = 17,223 : x
  2. Step 2: Convert to fraction form
    26,178.36/36,107.82 = 17,223/x
  3. Step 3: Cross multiply
    26,178.36x = 36,107.82 × 17,223
  4. Step 4: Simplify right side
    26,178.36x = 621,884,983.86
  5. Step 5: Solve for x
    x = 621,884,983.86/26,178.36
  6. Step 6: Final answer
    x = 23,755.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.