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Finding the Fourth Proportional to 20,140.97, 30,204.24 and 7,657.67

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Solution

The fourth proportional to 20,140.97, 30,204.24 and 7,657.67 is: 11,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.97 : 30,204.24 = 7,657.67 : x
  2. Step 2: Convert to fraction form
    20,140.97/30,204.24 = 7,657.67/x
  3. Step 3: Cross multiply
    20,140.97x = 30,204.24 × 7,657.67
  4. Step 4: Simplify right side
    20,140.97x = 231,293,951.50
  5. Step 5: Solve for x
    x = 231,293,951.50/20,140.97
  6. Step 6: Final answer
    x = 11,483.76

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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.