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Finding the Fourth Proportional to 20,356.36, 30,493.50 and 10,194.10

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Solution

The fourth proportional to 20,356.36, 30,493.50 and 10,194.10 is: 15,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.36 : 30,493.50 = 10,194.10 : x
  2. Step 2: Convert to fraction form
    20,356.36/30,493.50 = 10,194.10/x
  3. Step 3: Cross multiply
    20,356.36x = 30,493.50 × 10,194.10
  4. Step 4: Simplify right side
    20,356.36x = 310,853,788.35
  5. Step 5: Solve for x
    x = 310,853,788.35/20,356.36
  6. Step 6: Final answer
    x = 15,270.60

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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.