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Finding the Fourth Proportional to 18,565.20, 27,842.40 and 10,249.20

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Solution

The fourth proportional to 18,565.20, 27,842.40 and 10,249.20 is: 15,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.20 : 27,842.40 = 10,249.20 : x
  2. Step 2: Convert to fraction form
    18,565.20/27,842.40 = 10,249.20/x
  3. Step 3: Cross multiply
    18,565.20x = 27,842.40 × 10,249.20
  4. Step 4: Simplify right side
    18,565.20x = 285,362,326.08
  5. Step 5: Solve for x
    x = 285,362,326.08/18,565.20
  6. Step 6: Final answer
    x = 15,370.82

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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.