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Finding the Fourth Proportional to 12,196.98, 18,280.28 and 6,560.80

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Solution

The fourth proportional to 12,196.98, 18,280.28 and 6,560.80 is: 9,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.98 : 18,280.28 = 6,560.80 : x
  2. Step 2: Convert to fraction form
    12,196.98/18,280.28 = 6,560.80/x
  3. Step 3: Cross multiply
    12,196.98x = 18,280.28 × 6,560.80
  4. Step 4: Simplify right side
    12,196.98x = 119,933,231.73
  5. Step 5: Solve for x
    x = 119,933,231.73/12,196.98
  6. Step 6: Final answer
    x = 9,833.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.