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Finding the Fourth Proportional to 20,923.98, 31,383.24 and 9,234.47

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Solution

The fourth proportional to 20,923.98, 31,383.24 and 9,234.47 is: 13,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,923.98 : 31,383.24 = 9,234.47 : x
  2. Step 2: Convert to fraction form
    20,923.98/31,383.24 = 9,234.47/x
  3. Step 3: Cross multiply
    20,923.98x = 31,383.24 × 9,234.47
  4. Step 4: Simplify right side
    20,923.98x = 289,807,588.28
  5. Step 5: Solve for x
    x = 289,807,588.28/20,923.98
  6. Step 6: Final answer
    x = 13,850.50

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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.