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Finding the Fourth Proportional to 12,408.09, 17,156.84 and 12,207.78

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Solution

The fourth proportional to 12,408.09, 17,156.84 and 12,207.78 is: 16,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.09 : 17,156.84 = 12,207.78 : x
  2. Step 2: Convert to fraction form
    12,408.09/17,156.84 = 12,207.78/x
  3. Step 3: Cross multiply
    12,408.09x = 17,156.84 × 12,207.78
  4. Step 4: Simplify right side
    12,408.09x = 209,446,867.18
  5. Step 5: Solve for x
    x = 209,446,867.18/12,408.09
  6. Step 6: Final answer
    x = 16,879.86

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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.