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Finding the Fourth Proportional to 16,265.92, 22,446.96 and 8,813.92

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Solution

The fourth proportional to 16,265.92, 22,446.96 and 8,813.92 is: 12,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.92 : 22,446.96 = 8,813.92 : x
  2. Step 2: Convert to fraction form
    16,265.92/22,446.96 = 8,813.92/x
  3. Step 3: Cross multiply
    16,265.92x = 22,446.96 × 8,813.92
  4. Step 4: Simplify right side
    16,265.92x = 197,845,709.68
  5. Step 5: Solve for x
    x = 197,845,709.68/16,265.92
  6. Step 6: Final answer
    x = 12,163.20

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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.