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Finding the Fourth Proportional to 16,343.20, 22,554 and 8,891.68

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Solution

The fourth proportional to 16,343.20, 22,554 and 8,891.68 is: 12,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.20 : 22,554 = 8,891.68 : x
  2. Step 2: Convert to fraction form
    16,343.20/22,554 = 8,891.68/x
  3. Step 3: Cross multiply
    16,343.20x = 22,554 × 8,891.68
  4. Step 4: Simplify right side
    16,343.20x = 200,542,950.72
  5. Step 5: Solve for x
    x = 200,542,950.72/16,343.20
  6. Step 6: Final answer
    x = 12,270.73

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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.