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Finding the Fourth Proportional to 13,464.99, 20,166.17 and 12,997.80

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Solution

The fourth proportional to 13,464.99, 20,166.17 and 12,997.80 is: 19,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.99 : 20,166.17 = 12,997.80 : x
  2. Step 2: Convert to fraction form
    13,464.99/20,166.17 = 12,997.80/x
  3. Step 3: Cross multiply
    13,464.99x = 20,166.17 × 12,997.80
  4. Step 4: Simplify right side
    13,464.99x = 262,115,779.44
  5. Step 5: Solve for x
    x = 262,115,779.44/13,464.99
  6. Step 6: Final answer
    x = 19,466.47

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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.