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Finding the Fourth Proportional to 20,507.26, 30,763.45 and 8,025.67

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Solution

The fourth proportional to 20,507.26, 30,763.45 and 8,025.67 is: 12,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.26 : 30,763.45 = 8,025.67 : x
  2. Step 2: Convert to fraction form
    20,507.26/30,763.45 = 8,025.67/x
  3. Step 3: Cross multiply
    20,507.26x = 30,763.45 × 8,025.67
  4. Step 4: Simplify right side
    20,507.26x = 246,897,200.79
  5. Step 5: Solve for x
    x = 246,897,200.79/20,507.26
  6. Step 6: Final answer
    x = 12,039.50

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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.