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Finding the Fourth Proportional to 16,311.84, 24,471.84 and 8,914.32

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Solution

The fourth proportional to 16,311.84, 24,471.84 and 8,914.32 is: 13,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.84 : 24,471.84 = 8,914.32 : x
  2. Step 2: Convert to fraction form
    16,311.84/24,471.84 = 8,914.32/x
  3. Step 3: Cross multiply
    16,311.84x = 24,471.84 × 8,914.32
  4. Step 4: Simplify right side
    16,311.84x = 218,149,812.75
  5. Step 5: Solve for x
    x = 218,149,812.75/16,311.84
  6. Step 6: Final answer
    x = 13,373.71

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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.