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Finding the Fourth Proportional to 17,657.91, 24,389.46 and 13,201.44

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Solution

The fourth proportional to 17,657.91, 24,389.46 and 13,201.44 is: 18,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.91 : 24,389.46 = 13,201.44 : x
  2. Step 2: Convert to fraction form
    17,657.91/24,389.46 = 13,201.44/x
  3. Step 3: Cross multiply
    17,657.91x = 24,389.46 × 13,201.44
  4. Step 4: Simplify right side
    17,657.91x = 321,975,992.82
  5. Step 5: Solve for x
    x = 321,975,992.82/17,657.91
  6. Step 6: Final answer
    x = 18,234.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.