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Finding the Fourth Proportional to 14,511.92, 20,026.22 and 8,138.48

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Solution

The fourth proportional to 14,511.92, 20,026.22 and 8,138.48 is: 11,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.92 : 20,026.22 = 8,138.48 : x
  2. Step 2: Convert to fraction form
    14,511.92/20,026.22 = 8,138.48/x
  3. Step 3: Cross multiply
    14,511.92x = 20,026.22 × 8,138.48
  4. Step 4: Simplify right side
    14,511.92x = 162,982,990.95
  5. Step 5: Solve for x
    x = 162,982,990.95/14,511.92
  6. Step 6: Final answer
    x = 11,230.97

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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.