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Finding the Fourth Proportional to 13,662.54, 20,454.39 and 8,023.12

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Solution

The fourth proportional to 13,662.54, 20,454.39 and 8,023.12 is: 12,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.54 : 20,454.39 = 8,023.12 : x
  2. Step 2: Convert to fraction form
    13,662.54/20,454.39 = 8,023.12/x
  3. Step 3: Cross multiply
    13,662.54x = 20,454.39 × 8,023.12
  4. Step 4: Simplify right side
    13,662.54x = 164,107,974.36
  5. Step 5: Solve for x
    x = 164,107,974.36/13,662.54
  6. Step 6: Final answer
    x = 12,011.53

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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.