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Finding the Fourth Proportional to 26,143.44, 36,077.22 and 14,206.38

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Solution

The fourth proportional to 26,143.44, 36,077.22 and 14,206.38 is: 19,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143.44 : 36,077.22 = 14,206.38 : x
  2. Step 2: Convert to fraction form
    26,143.44/36,077.22 = 14,206.38/x
  3. Step 3: Cross multiply
    26,143.44x = 36,077.22 × 14,206.38
  4. Step 4: Simplify right side
    26,143.44x = 512,526,696.66
  5. Step 5: Solve for x
    x = 512,526,696.66/26,143.44
  6. Step 6: Final answer
    x = 19,604.41

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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.