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Finding the Fourth Proportional to 20,812.50, 31,221.86 and 7,663.86

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Solution

The fourth proportional to 20,812.50, 31,221.86 and 7,663.86 is: 11,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.50 : 31,221.86 = 7,663.86 : x
  2. Step 2: Convert to fraction form
    20,812.50/31,221.86 = 7,663.86/x
  3. Step 3: Cross multiply
    20,812.50x = 31,221.86 × 7,663.86
  4. Step 4: Simplify right side
    20,812.50x = 239,279,963.98
  5. Step 5: Solve for x
    x = 239,279,963.98/20,812.50
  6. Step 6: Final answer
    x = 11,496.94

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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.