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Finding the Fourth Proportional to 20,564.50, 30,859.43 and 8,082.33

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Solution

The fourth proportional to 20,564.50, 30,859.43 and 8,082.33 is: 12,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.50 : 30,859.43 = 8,082.33 : x
  2. Step 2: Convert to fraction form
    20,564.50/30,859.43 = 8,082.33/x
  3. Step 3: Cross multiply
    20,564.50x = 30,859.43 × 8,082.33
  4. Step 4: Simplify right side
    20,564.50x = 249,416,039.93
  5. Step 5: Solve for x
    x = 249,416,039.93/20,564.50
  6. Step 6: Final answer
    x = 12,128.48

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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.