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Finding the Fourth Proportional to 20,460.69, 30,694.49 and 10,469.77

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Solution

The fourth proportional to 20,460.69, 30,694.49 and 10,469.77 is: 15,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.69 : 30,694.49 = 10,469.77 : x
  2. Step 2: Convert to fraction form
    20,460.69/30,694.49 = 10,469.77/x
  3. Step 3: Cross multiply
    20,460.69x = 30,694.49 × 10,469.77
  4. Step 4: Simplify right side
    20,460.69x = 321,364,196.55
  5. Step 5: Solve for x
    x = 321,364,196.55/20,460.69
  6. Step 6: Final answer
    x = 15,706.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.