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Finding the Fourth Proportional to 16,190.85, 24,286.88 and 5,658.81

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Solution

The fourth proportional to 16,190.85, 24,286.88 and 5,658.81 is: 8,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.85 : 24,286.88 = 5,658.81 : x
  2. Step 2: Convert to fraction form
    16,190.85/24,286.88 = 5,658.81/x
  3. Step 3: Cross multiply
    16,190.85x = 24,286.88 × 5,658.81
  4. Step 4: Simplify right side
    16,190.85x = 137,434,811.12
  5. Step 5: Solve for x
    x = 137,434,811.12/16,190.85
  6. Step 6: Final answer
    x = 8,488.42

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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.