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Finding the Fourth Proportional to 20,645.82, 30,975.12 and 7,498.26

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Solution

The fourth proportional to 20,645.82, 30,975.12 and 7,498.26 is: 11,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.82 : 30,975.12 = 7,498.26 : x
  2. Step 2: Convert to fraction form
    20,645.82/30,975.12 = 7,498.26/x
  3. Step 3: Cross multiply
    20,645.82x = 30,975.12 × 7,498.26
  4. Step 4: Simplify right side
    20,645.82x = 232,259,503.29
  5. Step 5: Solve for x
    x = 232,259,503.29/20,645.82
  6. Step 6: Final answer
    x = 11,249.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.