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Finding the Fourth Proportional to 27,589.81, 38,073.57 and 16,259.78

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Solution

The fourth proportional to 27,589.81, 38,073.57 and 16,259.78 is: 22,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.81 : 38,073.57 = 16,259.78 : x
  2. Step 2: Convert to fraction form
    27,589.81/38,073.57 = 16,259.78/x
  3. Step 3: Cross multiply
    27,589.81x = 38,073.57 × 16,259.78
  4. Step 4: Simplify right side
    27,589.81x = 619,067,997.69
  5. Step 5: Solve for x
    x = 619,067,997.69/27,589.81
  6. Step 6: Final answer
    x = 22,438.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.