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Finding the Fourth Proportional to 27,814.96, 41,726.97 and 9,089.56

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Solution

The fourth proportional to 27,814.96, 41,726.97 and 9,089.56 is: 13,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.96 : 41,726.97 = 9,089.56 : x
  2. Step 2: Convert to fraction form
    27,814.96/41,726.97 = 9,089.56/x
  3. Step 3: Cross multiply
    27,814.96x = 41,726.97 × 9,089.56
  4. Step 4: Simplify right side
    27,814.96x = 379,279,797.43
  5. Step 5: Solve for x
    x = 379,279,797.43/27,814.96
  6. Step 6: Final answer
    x = 13,635.82

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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.