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Finding the Fourth Proportional to 12,196.94, 16,830.84 and 6,892.24

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Solution

The fourth proportional to 12,196.94, 16,830.84 and 6,892.24 is: 9,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.94 : 16,830.84 = 6,892.24 : x
  2. Step 2: Convert to fraction form
    12,196.94/16,830.84 = 6,892.24/x
  3. Step 3: Cross multiply
    12,196.94x = 16,830.84 × 6,892.24
  4. Step 4: Simplify right side
    12,196.94x = 116,002,188.68
  5. Step 5: Solve for x
    x = 116,002,188.68/12,196.94
  6. Step 6: Final answer
    x = 9,510.76

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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.