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Finding the Fourth Proportional to 26,084.22, 35,996.84 and 15,871.74

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Solution

The fourth proportional to 26,084.22, 35,996.84 and 15,871.74 is: 21,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084.22 : 35,996.84 = 15,871.74 : x
  2. Step 2: Convert to fraction form
    26,084.22/35,996.84 = 15,871.74/x
  3. Step 3: Cross multiply
    26,084.22x = 35,996.84 × 15,871.74
  4. Step 4: Simplify right side
    26,084.22x = 571,332,485.30
  5. Step 5: Solve for x
    x = 571,332,485.30/26,084.22
  6. Step 6: Final answer
    x = 21,903.38

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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.