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Finding the Fourth Proportional to 12,196.49, 16,832.14 and 6,892.40

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Solution

The fourth proportional to 12,196.49, 16,832.14 and 6,892.40 is: 9,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.49 : 16,832.14 = 6,892.40 : x
  2. Step 2: Convert to fraction form
    12,196.49/16,832.14 = 6,892.40/x
  3. Step 3: Cross multiply
    12,196.49x = 16,832.14 × 6,892.40
  4. Step 4: Simplify right side
    12,196.49x = 116,013,866.59
  5. Step 5: Solve for x
    x = 116,013,866.59/12,196.49
  6. Step 6: Final answer
    x = 9,512.07

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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.