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Finding the Fourth Proportional to 18,542.78, 27,826.23 and 8,023.07

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Solution

The fourth proportional to 18,542.78, 27,826.23 and 8,023.07 is: 12,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.78 : 27,826.23 = 8,023.07 : x
  2. Step 2: Convert to fraction form
    18,542.78/27,826.23 = 8,023.07/x
  3. Step 3: Cross multiply
    18,542.78x = 27,826.23 × 8,023.07
  4. Step 4: Simplify right side
    18,542.78x = 223,251,651.99
  5. Step 5: Solve for x
    x = 223,251,651.99/18,542.78
  6. Step 6: Final answer
    x = 12,039.82

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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.