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Finding the Fourth Proportional to 20,423.79, 30,627.86 and 7,942.19

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Solution

The fourth proportional to 20,423.79, 30,627.86 and 7,942.19 is: 11,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.79 : 30,627.86 = 7,942.19 : x
  2. Step 2: Convert to fraction form
    20,423.79/30,627.86 = 7,942.19/x
  3. Step 3: Cross multiply
    20,423.79x = 30,627.86 × 7,942.19
  4. Step 4: Simplify right side
    20,423.79x = 243,252,090.56
  5. Step 5: Solve for x
    x = 243,252,090.56/20,423.79
  6. Step 6: Final answer
    x = 11,910.23

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1.5x scale

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.