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Finding the Fourth Proportional to 25,983.35, 35,866.70 and 20,229.38

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Solution

The fourth proportional to 25,983.35, 35,866.70 and 20,229.38 is: 27,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.35 : 35,866.70 = 20,229.38 : x
  2. Step 2: Convert to fraction form
    25,983.35/35,866.70 = 20,229.38/x
  3. Step 3: Cross multiply
    25,983.35x = 35,866.70 × 20,229.38
  4. Step 4: Simplify right side
    25,983.35x = 725,561,033.53
  5. Step 5: Solve for x
    x = 725,561,033.53/25,983.35
  6. Step 6: Final answer
    x = 27,924.08

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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.