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Finding the Fourth Proportional to 13,874.76, 20,760.30 and 8,034.12

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Solution

The fourth proportional to 13,874.76, 20,760.30 and 8,034.12 is: 12,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.76 : 20,760.30 = 8,034.12 : x
  2. Step 2: Convert to fraction form
    13,874.76/20,760.30 = 8,034.12/x
  3. Step 3: Cross multiply
    13,874.76x = 20,760.30 × 8,034.12
  4. Step 4: Simplify right side
    13,874.76x = 166,790,741.44
  5. Step 5: Solve for x
    x = 166,790,741.44/13,874.76
  6. Step 6: Final answer
    x = 12,021.16

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1.5x scale

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.