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Finding the Fourth Proportional to 12,217, 16,853.82 and 7,179.64

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Solution

The fourth proportional to 12,217, 16,853.82 and 7,179.64 is: 9,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217 : 16,853.82 = 7,179.64 : x
  2. Step 2: Convert to fraction form
    12,217/16,853.82 = 7,179.64/x
  3. Step 3: Cross multiply
    12,217x = 16,853.82 × 7,179.64
  4. Step 4: Simplify right side
    12,217x = 121,004,360.22
  5. Step 5: Solve for x
    x = 121,004,360.22/12,217
  6. Step 6: Final answer
    x = 9,904.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.