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Finding the Fourth Proportional to 27,565.43, 41,338.22 and 9,548.78

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Solution

The fourth proportional to 27,565.43, 41,338.22 and 9,548.78 is: 14,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.43 : 41,338.22 = 9,548.78 : x
  2. Step 2: Convert to fraction form
    27,565.43/41,338.22 = 9,548.78/x
  3. Step 3: Cross multiply
    27,565.43x = 41,338.22 × 9,548.78
  4. Step 4: Simplify right side
    27,565.43x = 394,729,313.94
  5. Step 5: Solve for x
    x = 394,729,313.94/27,565.43
  6. Step 6: Final answer
    x = 14,319.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.