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Finding the Fourth Proportional to 16,489.85, 22,756.07 and 8,936.19

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Solution

The fourth proportional to 16,489.85, 22,756.07 and 8,936.19 is: 12,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.85 : 22,756.07 = 8,936.19 : x
  2. Step 2: Convert to fraction form
    16,489.85/22,756.07 = 8,936.19/x
  3. Step 3: Cross multiply
    16,489.85x = 22,756.07 × 8,936.19
  4. Step 4: Simplify right side
    16,489.85x = 203,352,520.49
  5. Step 5: Solve for x
    x = 203,352,520.49/16,489.85
  6. Step 6: Final answer
    x = 12,331.98

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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.