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Finding the Fourth Proportional to 16,234.26, 22,403.12 and 8,782.26

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Solution

The fourth proportional to 16,234.26, 22,403.12 and 8,782.26 is: 12,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.26 : 22,403.12 = 8,782.26 : x
  2. Step 2: Convert to fraction form
    16,234.26/22,403.12 = 8,782.26/x
  3. Step 3: Cross multiply
    16,234.26x = 22,403.12 × 8,782.26
  4. Step 4: Simplify right side
    16,234.26x = 196,750,024.65
  5. Step 5: Solve for x
    x = 196,750,024.65/16,234.26
  6. Step 6: Final answer
    x = 12,119.43

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1.5x scale

Why These Related Problems?

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