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Finding the Fourth Proportional to 12,203.44, 16,854.57 and 8,217.63

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Solution

The fourth proportional to 12,203.44, 16,854.57 and 8,217.63 is: 11,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.44 : 16,854.57 = 8,217.63 : x
  2. Step 2: Convert to fraction form
    12,203.44/16,854.57 = 8,217.63/x
  3. Step 3: Cross multiply
    12,203.44x = 16,854.57 × 8,217.63
  4. Step 4: Simplify right side
    12,203.44x = 138,504,620.07
  5. Step 5: Solve for x
    x = 138,504,620.07/12,203.44
  6. Step 6: Final answer
    x = 11,349.64

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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.