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Finding the Fourth Proportional to 19,832.92, 29,738.44 and 8,132.47

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Solution

The fourth proportional to 19,832.92, 29,738.44 and 8,132.47 is: 12,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.92 : 29,738.44 = 8,132.47 : x
  2. Step 2: Convert to fraction form
    19,832.92/29,738.44 = 8,132.47/x
  3. Step 3: Cross multiply
    19,832.92x = 29,738.44 × 8,132.47
  4. Step 4: Simplify right side
    19,832.92x = 241,846,971.15
  5. Step 5: Solve for x
    x = 241,846,971.15/19,832.92
  6. Step 6: Final answer
    x = 12,194.22

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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.