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Finding the Fourth Proportional to 20,188.63, 30,289.11 and 10,334.89

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Solution

The fourth proportional to 20,188.63, 30,289.11 and 10,334.89 is: 15,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.63 : 30,289.11 = 10,334.89 : x
  2. Step 2: Convert to fraction form
    20,188.63/30,289.11 = 10,334.89/x
  3. Step 3: Cross multiply
    20,188.63x = 30,289.11 × 10,334.89
  4. Step 4: Simplify right side
    20,188.63x = 313,034,620.05
  5. Step 5: Solve for x
    x = 313,034,620.05/20,188.63
  6. Step 6: Final answer
    x = 15,505.49

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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.