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Finding the Fourth Proportional to 24,647.68, 34,014.24 and 13,469.44

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Solution

The fourth proportional to 24,647.68, 34,014.24 and 13,469.44 is: 18,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.68 : 34,014.24 = 13,469.44 : x
  2. Step 2: Convert to fraction form
    24,647.68/34,014.24 = 13,469.44/x
  3. Step 3: Cross multiply
    24,647.68x = 34,014.24 × 13,469.44
  4. Step 4: Simplify right side
    24,647.68x = 458,152,764.83
  5. Step 5: Solve for x
    x = 458,152,764.83/24,647.68
  6. Step 6: Final answer
    x = 18,588.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.