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Finding the Fourth Proportional to 20,181.85, 30,245.13 and 10,300.41

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Solution

The fourth proportional to 20,181.85, 30,245.13 and 10,300.41 is: 15,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.85 : 30,245.13 = 10,300.41 : x
  2. Step 2: Convert to fraction form
    20,181.85/30,245.13 = 10,300.41/x
  3. Step 3: Cross multiply
    20,181.85x = 30,245.13 × 10,300.41
  4. Step 4: Simplify right side
    20,181.85x = 311,537,036.78
  5. Step 5: Solve for x
    x = 311,537,036.78/20,181.85
  6. Step 6: Final answer
    x = 15,436.50

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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.