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Finding the Fourth Proportional to 12,196.86, 16,814.43 and 8,658.78

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Solution

The fourth proportional to 12,196.86, 16,814.43 and 8,658.78 is: 11,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.86 : 16,814.43 = 8,658.78 : x
  2. Step 2: Convert to fraction form
    12,196.86/16,814.43 = 8,658.78/x
  3. Step 3: Cross multiply
    12,196.86x = 16,814.43 × 8,658.78
  4. Step 4: Simplify right side
    12,196.86x = 145,592,450.20
  5. Step 5: Solve for x
    x = 145,592,450.20/12,196.86
  6. Step 6: Final answer
    x = 11,936.88

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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.