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Finding the Fourth Proportional to 18,565.36, 27,845.30 and 5,414.20

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Solution

The fourth proportional to 18,565.36, 27,845.30 and 5,414.20 is: 8,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.36 : 27,845.30 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    18,565.36/27,845.30 = 5,414.20/x
  3. Step 3: Cross multiply
    18,565.36x = 27,845.30 × 5,414.20
  4. Step 4: Simplify right side
    18,565.36x = 150,760,023.26
  5. Step 5: Solve for x
    x = 150,760,023.26/18,565.36
  6. Step 6: Final answer
    x = 8,120.50

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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.