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Finding the Fourth Proportional to 12,206.98, 18,308.85 and 3,442.60

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Solution

The fourth proportional to 12,206.98, 18,308.85 and 3,442.60 is: 5,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.98 : 18,308.85 = 3,442.60 : x
  2. Step 2: Convert to fraction form
    12,206.98/18,308.85 = 3,442.60/x
  3. Step 3: Cross multiply
    12,206.98x = 18,308.85 × 3,442.60
  4. Step 4: Simplify right side
    12,206.98x = 63,030,047.01
  5. Step 5: Solve for x
    x = 63,030,047.01/12,206.98
  6. Step 6: Final answer
    x = 5,163.44

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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.