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Finding the Fourth Proportional to 20,492.75, 30,743.99 and 6,641.75

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Solution

The fourth proportional to 20,492.75, 30,743.99 and 6,641.75 is: 9,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.75 : 30,743.99 = 6,641.75 : x
  2. Step 2: Convert to fraction form
    20,492.75/30,743.99 = 6,641.75/x
  3. Step 3: Cross multiply
    20,492.75x = 30,743.99 × 6,641.75
  4. Step 4: Simplify right side
    20,492.75x = 204,193,895.58
  5. Step 5: Solve for x
    x = 204,193,895.58/20,492.75
  6. Step 6: Final answer
    x = 9,964.20

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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.