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Finding the Fourth Proportional to 13,647.18, 20,469.59 and 8,308.98

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Solution

The fourth proportional to 13,647.18, 20,469.59 and 8,308.98 is: 12,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.18 : 20,469.59 = 8,308.98 : x
  2. Step 2: Convert to fraction form
    13,647.18/20,469.59 = 8,308.98/x
  3. Step 3: Cross multiply
    13,647.18x = 20,469.59 × 8,308.98
  4. Step 4: Simplify right side
    13,647.18x = 170,081,342.73
  5. Step 5: Solve for x
    x = 170,081,342.73/13,647.18
  6. Step 6: Final answer
    x = 12,462.75

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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.