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Finding the Fourth Proportional to 26,735, 36,902.51 and 15,412.06

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Solution

The fourth proportional to 26,735, 36,902.51 and 15,412.06 is: 21,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,735 : 36,902.51 = 15,412.06 : x
  2. Step 2: Convert to fraction form
    26,735/36,902.51 = 15,412.06/x
  3. Step 3: Cross multiply
    26,735x = 36,902.51 × 15,412.06
  4. Step 4: Simplify right side
    26,735x = 568,743,698.27
  5. Step 5: Solve for x
    x = 568,743,698.27/26,735
  6. Step 6: Final answer
    x = 21,273.38

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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.