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Finding the Fourth Proportional to 17,147, 23,646.62 and 11,183.24

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Solution

The fourth proportional to 17,147, 23,646.62 and 11,183.24 is: 15,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147 : 23,646.62 = 11,183.24 : x
  2. Step 2: Convert to fraction form
    17,147/23,646.62 = 11,183.24/x
  3. Step 3: Cross multiply
    17,147x = 23,646.62 × 11,183.24
  4. Step 4: Simplify right side
    17,147x = 264,445,826.65
  5. Step 5: Solve for x
    x = 264,445,826.65/17,147
  6. Step 6: Final answer
    x = 15,422.28

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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.