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Finding the Fourth Proportional to 18,576.24, 27,843.35 and 9,222.76

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Solution

The fourth proportional to 18,576.24, 27,843.35 and 9,222.76 is: 13,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.24 : 27,843.35 = 9,222.76 : x
  2. Step 2: Convert to fraction form
    18,576.24/27,843.35 = 9,222.76/x
  3. Step 3: Cross multiply
    18,576.24x = 27,843.35 × 9,222.76
  4. Step 4: Simplify right side
    18,576.24x = 256,792,523.34
  5. Step 5: Solve for x
    x = 256,792,523.34/18,576.24
  6. Step 6: Final answer
    x = 13,823.71

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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.