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Finding the Fourth Proportional to 18,581.92, 25,642.96 and 10,198.24

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Solution

The fourth proportional to 18,581.92, 25,642.96 and 10,198.24 is: 14,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.92 : 25,642.96 = 10,198.24 : x
  2. Step 2: Convert to fraction form
    18,581.92/25,642.96 = 10,198.24/x
  3. Step 3: Cross multiply
    18,581.92x = 25,642.96 × 10,198.24
  4. Step 4: Simplify right side
    18,581.92x = 261,513,060.39
  5. Step 5: Solve for x
    x = 261,513,060.39/18,581.92
  6. Step 6: Final answer
    x = 14,073.52

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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.