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Finding the Fourth Proportional to 17,540.80, 26,298.24 and 8,296

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Solution

The fourth proportional to 17,540.80, 26,298.24 and 8,296 is: 12,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.80 : 26,298.24 = 8,296 : x
  2. Step 2: Convert to fraction form
    17,540.80/26,298.24 = 8,296/x
  3. Step 3: Cross multiply
    17,540.80x = 26,298.24 × 8,296
  4. Step 4: Simplify right side
    17,540.80x = 218,170,199.04
  5. Step 5: Solve for x
    x = 218,170,199.04/17,540.80
  6. Step 6: Final answer
    x = 12,437.87

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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.