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Finding the Fourth Proportional to 17,644.31, 26,431.87 and 10,233.20

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Solution

The fourth proportional to 17,644.31, 26,431.87 and 10,233.20 is: 15,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.31 : 26,431.87 = 10,233.20 : x
  2. Step 2: Convert to fraction form
    17,644.31/26,431.87 = 10,233.20/x
  3. Step 3: Cross multiply
    17,644.31x = 26,431.87 × 10,233.20
  4. Step 4: Simplify right side
    17,644.31x = 270,482,560.92
  5. Step 5: Solve for x
    x = 270,482,560.92/17,644.31
  6. Step 6: Final answer
    x = 15,329.73

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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.