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Finding the Fourth Proportional to 18,576.14, 27,866.16 and 8,047.23

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Solution

The fourth proportional to 18,576.14, 27,866.16 and 8,047.23 is: 12,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.14 : 27,866.16 = 8,047.23 : x
  2. Step 2: Convert to fraction form
    18,576.14/27,866.16 = 8,047.23/x
  3. Step 3: Cross multiply
    18,576.14x = 27,866.16 × 8,047.23
  4. Step 4: Simplify right side
    18,576.14x = 224,245,398.74
  5. Step 5: Solve for x
    x = 224,245,398.74/18,576.14
  6. Step 6: Final answer
    x = 12,071.69

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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.