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Finding the Fourth Proportional to 17,157, 23,660.46 and 11,193.24

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Solution

The fourth proportional to 17,157, 23,660.46 and 11,193.24 is: 15,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157 : 23,660.46 = 11,193.24 : x
  2. Step 2: Convert to fraction form
    17,157/23,660.46 = 11,193.24/x
  3. Step 3: Cross multiply
    17,157x = 23,660.46 × 11,193.24
  4. Step 4: Simplify right side
    17,157x = 264,837,207.29
  5. Step 5: Solve for x
    x = 264,837,207.29/17,157
  6. Step 6: Final answer
    x = 15,436.10

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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.