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Finding the Fourth Proportional to 16,584.54, 24,850.89 and 9,568.86

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Solution

The fourth proportional to 16,584.54, 24,850.89 and 9,568.86 is: 14,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.54 : 24,850.89 = 9,568.86 : x
  2. Step 2: Convert to fraction form
    16,584.54/24,850.89 = 9,568.86/x
  3. Step 3: Cross multiply
    16,584.54x = 24,850.89 × 9,568.86
  4. Step 4: Simplify right side
    16,584.54x = 237,794,687.29
  5. Step 5: Solve for x
    x = 237,794,687.29/16,584.54
  6. Step 6: Final answer
    x = 14,338.33

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1.5x scale

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.