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Finding the Fourth Proportional to 12,196.34, 16,825.94 and 8,218.74

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Solution

The fourth proportional to 12,196.34, 16,825.94 and 8,218.74 is: 11,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.34 : 16,825.94 = 8,218.74 : x
  2. Step 2: Convert to fraction form
    12,196.34/16,825.94 = 8,218.74/x
  3. Step 3: Cross multiply
    12,196.34x = 16,825.94 × 8,218.74
  4. Step 4: Simplify right side
    12,196.34x = 138,288,026.12
  5. Step 5: Solve for x
    x = 138,288,026.12/12,196.34
  6. Step 6: Final answer
    x = 11,338.49

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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.