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Finding the Fourth Proportional to 20,469.69, 30,703.10 and 7,987.37

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Solution

The fourth proportional to 20,469.69, 30,703.10 and 7,987.37 is: 11,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.69 : 30,703.10 = 7,987.37 : x
  2. Step 2: Convert to fraction form
    20,469.69/30,703.10 = 7,987.37/x
  3. Step 3: Cross multiply
    20,469.69x = 30,703.10 × 7,987.37
  4. Step 4: Simplify right side
    20,469.69x = 245,236,826.39
  5. Step 5: Solve for x
    x = 245,236,826.39/20,469.69
  6. Step 6: Final answer
    x = 11,980.49

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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.