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Finding the Fourth Proportional to 12,196.98, 16,839.60 and 9,964.20

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Solution

The fourth proportional to 12,196.98, 16,839.60 and 9,964.20 is: 13,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.98 : 16,839.60 = 9,964.20 : x
  2. Step 2: Convert to fraction form
    12,196.98/16,839.60 = 9,964.20/x
  3. Step 3: Cross multiply
    12,196.98x = 16,839.60 × 9,964.20
  4. Step 4: Simplify right side
    12,196.98x = 167,793,142.32
  5. Step 5: Solve for x
    x = 167,793,142.32/12,196.98
  6. Step 6: Final answer
    x = 13,756.94

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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.