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Finding the Fourth Proportional to 27,234.70, 40,853.67 and 10,589.20

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Solution

The fourth proportional to 27,234.70, 40,853.67 and 10,589.20 is: 15,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.70 : 40,853.67 = 10,589.20 : x
  2. Step 2: Convert to fraction form
    27,234.70/40,853.67 = 10,589.20/x
  3. Step 3: Cross multiply
    27,234.70x = 40,853.67 × 10,589.20
  4. Step 4: Simplify right side
    27,234.70x = 432,607,682.36
  5. Step 5: Solve for x
    x = 432,607,682.36/27,234.70
  6. Step 6: Final answer
    x = 15,884.43

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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.