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Finding the Fourth Proportional to 12,840.68, 19,266.78 and 5,450.24

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Solution

The fourth proportional to 12,840.68, 19,266.78 and 5,450.24 is: 8,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.68 : 19,266.78 = 5,450.24 : x
  2. Step 2: Convert to fraction form
    12,840.68/19,266.78 = 5,450.24/x
  3. Step 3: Cross multiply
    12,840.68x = 19,266.78 × 5,450.24
  4. Step 4: Simplify right side
    12,840.68x = 105,008,575.03
  5. Step 5: Solve for x
    x = 105,008,575.03/12,840.68
  6. Step 6: Final answer
    x = 8,177.80

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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.