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Finding the Fourth Proportional to 16,961.22, 25,417.14 and 8,185.86

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Solution

The fourth proportional to 16,961.22, 25,417.14 and 8,185.86 is: 12,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.22 : 25,417.14 = 8,185.86 : x
  2. Step 2: Convert to fraction form
    16,961.22/25,417.14 = 8,185.86/x
  3. Step 3: Cross multiply
    16,961.22x = 25,417.14 × 8,185.86
  4. Step 4: Simplify right side
    16,961.22x = 208,061,149.64
  5. Step 5: Solve for x
    x = 208,061,149.64/16,961.22
  6. Step 6: Final answer
    x = 12,266.87

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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.