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Finding the Fourth Proportional to 16,986.92, 25,462.01 and 8,209.76

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Solution

The fourth proportional to 16,986.92, 25,462.01 and 8,209.76 is: 12,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986.92 : 25,462.01 = 8,209.76 : x
  2. Step 2: Convert to fraction form
    16,986.92/25,462.01 = 8,209.76/x
  3. Step 3: Cross multiply
    16,986.92x = 25,462.01 × 8,209.76
  4. Step 4: Simplify right side
    16,986.92x = 209,036,884.43
  5. Step 5: Solve for x
    x = 209,036,884.43/16,986.92
  6. Step 6: Final answer
    x = 12,305.76

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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.