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Finding the Fourth Proportional to 18,672.80, 25,768.24 and 10,289.12

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Solution

The fourth proportional to 18,672.80, 25,768.24 and 10,289.12 is: 14,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672.80 : 25,768.24 = 10,289.12 : x
  2. Step 2: Convert to fraction form
    18,672.80/25,768.24 = 10,289.12/x
  3. Step 3: Cross multiply
    18,672.80x = 25,768.24 × 10,289.12
  4. Step 4: Simplify right side
    18,672.80x = 265,132,513.55
  5. Step 5: Solve for x
    x = 265,132,513.55/18,672.80
  6. Step 6: Final answer
    x = 14,198.86

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1.5x scale

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.