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Finding the Fourth Proportional to 26,057.28, 35,959.38 and 15,845.28

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Solution

The fourth proportional to 26,057.28, 35,959.38 and 15,845.28 is: 21,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,057.28 : 35,959.38 = 15,845.28 : x
  2. Step 2: Convert to fraction form
    26,057.28/35,959.38 = 15,845.28/x
  3. Step 3: Cross multiply
    26,057.28x = 35,959.38 × 15,845.28
  4. Step 4: Simplify right side
    26,057.28x = 569,786,444.73
  5. Step 5: Solve for x
    x = 569,786,444.73/26,057.28
  6. Step 6: Final answer
    x = 21,866.69

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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.