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Finding the Fourth Proportional to 17,198.53, 23,731.99 and 9,644.87

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Solution

The fourth proportional to 17,198.53, 23,731.99 and 9,644.87 is: 13,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.53 : 23,731.99 = 9,644.87 : x
  2. Step 2: Convert to fraction form
    17,198.53/23,731.99 = 9,644.87/x
  3. Step 3: Cross multiply
    17,198.53x = 23,731.99 × 9,644.87
  4. Step 4: Simplify right side
    17,198.53x = 228,891,993.61
  5. Step 5: Solve for x
    x = 228,891,993.61/17,198.53
  6. Step 6: Final answer
    x = 13,308.81

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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.