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Finding the Fourth Proportional to 20,673.50, 31,010.26 and 6,822.50

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Solution

The fourth proportional to 20,673.50, 31,010.26 and 6,822.50 is: 10,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.50 : 31,010.26 = 6,822.50 : x
  2. Step 2: Convert to fraction form
    20,673.50/31,010.26 = 6,822.50/x
  3. Step 3: Cross multiply
    20,673.50x = 31,010.26 × 6,822.50
  4. Step 4: Simplify right side
    20,673.50x = 211,567,498.85
  5. Step 5: Solve for x
    x = 211,567,498.85/20,673.50
  6. Step 6: Final answer
    x = 10,233.75

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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.