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Finding the Fourth Proportional to 17,480.92, 24,124.10 and 9,523.56

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Solution

The fourth proportional to 17,480.92, 24,124.10 and 9,523.56 is: 13,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.92 : 24,124.10 = 9,523.56 : x
  2. Step 2: Convert to fraction form
    17,480.92/24,124.10 = 9,523.56/x
  3. Step 3: Cross multiply
    17,480.92x = 24,124.10 × 9,523.56
  4. Step 4: Simplify right side
    17,480.92x = 229,747,313.80
  5. Step 5: Solve for x
    x = 229,747,313.80/17,480.92
  6. Step 6: Final answer
    x = 13,142.75

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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.