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Finding the Fourth Proportional to 20,181.74, 30,275.25 and 6,668.42

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Solution

The fourth proportional to 20,181.74, 30,275.25 and 6,668.42 is: 10,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.74 : 30,275.25 = 6,668.42 : x
  2. Step 2: Convert to fraction form
    20,181.74/30,275.25 = 6,668.42/x
  3. Step 3: Cross multiply
    20,181.74x = 30,275.25 × 6,668.42
  4. Step 4: Simplify right side
    20,181.74x = 201,888,082.61
  5. Step 5: Solve for x
    x = 201,888,082.61/20,181.74
  6. Step 6: Final answer
    x = 10,003.50

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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.