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Finding the Fourth Proportional to 18,474, 27,723.16 and 8,085.76

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Solution

The fourth proportional to 18,474, 27,723.16 and 8,085.76 is: 12,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474 : 27,723.16 = 8,085.76 : x
  2. Step 2: Convert to fraction form
    18,474/27,723.16 = 8,085.76/x
  3. Step 3: Cross multiply
    18,474x = 27,723.16 × 8,085.76
  4. Step 4: Simplify right side
    18,474x = 224,162,818.20
  5. Step 5: Solve for x
    x = 224,162,818.20/18,474
  6. Step 6: Final answer
    x = 12,133.96

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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.