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Finding the Fourth Proportional to 14,794.42, 20,414.46 and 8,743.95

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Solution

The fourth proportional to 14,794.42, 20,414.46 and 8,743.95 is: 12,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.42 : 20,414.46 = 8,743.95 : x
  2. Step 2: Convert to fraction form
    14,794.42/20,414.46 = 8,743.95/x
  3. Step 3: Cross multiply
    14,794.42x = 20,414.46 × 8,743.95
  4. Step 4: Simplify right side
    14,794.42x = 178,503,017.52
  5. Step 5: Solve for x
    x = 178,503,017.52/14,794.42
  6. Step 6: Final answer
    x = 12,065.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.