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Finding the Fourth Proportional to 16,426.45, 24,644 and 8,529.49

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Solution

The fourth proportional to 16,426.45, 24,644 and 8,529.49 is: 12,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.45 : 24,644 = 8,529.49 : x
  2. Step 2: Convert to fraction form
    16,426.45/24,644 = 8,529.49/x
  3. Step 3: Cross multiply
    16,426.45x = 24,644 × 8,529.49
  4. Step 4: Simplify right side
    16,426.45x = 210,200,751.56
  5. Step 5: Solve for x
    x = 210,200,751.56/16,426.45
  6. Step 6: Final answer
    x = 12,796.48

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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.