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Finding the Fourth Proportional to 18,567.72, 27,832.14 and 7,471.80

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Solution

The fourth proportional to 18,567.72, 27,832.14 and 7,471.80 is: 11,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.72 : 27,832.14 = 7,471.80 : x
  2. Step 2: Convert to fraction form
    18,567.72/27,832.14 = 7,471.80/x
  3. Step 3: Cross multiply
    18,567.72x = 27,832.14 × 7,471.80
  4. Step 4: Simplify right side
    18,567.72x = 207,956,183.65
  5. Step 5: Solve for x
    x = 207,956,183.65/18,567.72
  6. Step 6: Final answer
    x = 11,199.88

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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.