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Finding the Fourth Proportional to 20,874.50, 31,313.68 and 7,550.82

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Solution

The fourth proportional to 20,874.50, 31,313.68 and 7,550.82 is: 11,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.50 : 31,313.68 = 7,550.82 : x
  2. Step 2: Convert to fraction form
    20,874.50/31,313.68 = 7,550.82/x
  3. Step 3: Cross multiply
    20,874.50x = 31,313.68 × 7,550.82
  4. Step 4: Simplify right side
    20,874.50x = 236,443,961.22
  5. Step 5: Solve for x
    x = 236,443,961.22/20,874.50
  6. Step 6: Final answer
    x = 11,326.93

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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.