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Finding the Fourth Proportional to 16,589.88, 24,882.39 and 5,494.50

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Solution

The fourth proportional to 16,589.88, 24,882.39 and 5,494.50 is: 8,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.88 : 24,882.39 = 5,494.50 : x
  2. Step 2: Convert to fraction form
    16,589.88/24,882.39 = 5,494.50/x
  3. Step 3: Cross multiply
    16,589.88x = 24,882.39 × 5,494.50
  4. Step 4: Simplify right side
    16,589.88x = 136,716,291.86
  5. Step 5: Solve for x
    x = 136,716,291.86/16,589.88
  6. Step 6: Final answer
    x = 8,240.95

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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.