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Finding the Fourth Proportional to 16,000.26, 24,000.16 and 7,229.04

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Solution

The fourth proportional to 16,000.26, 24,000.16 and 7,229.04 is: 10,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.26 : 24,000.16 = 7,229.04 : x
  2. Step 2: Convert to fraction form
    16,000.26/24,000.16 = 7,229.04/x
  3. Step 3: Cross multiply
    16,000.26x = 24,000.16 × 7,229.04
  4. Step 4: Simplify right side
    16,000.26x = 173,498,116.65
  5. Step 5: Solve for x
    x = 173,498,116.65/16,000.26
  6. Step 6: Final answer
    x = 10,843.46

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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.