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Finding the Fourth Proportional to 12,244.40, 16,847.16 and 11,466.80

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Solution

The fourth proportional to 12,244.40, 16,847.16 and 11,466.80 is: 15,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.40 : 16,847.16 = 11,466.80 : x
  2. Step 2: Convert to fraction form
    12,244.40/16,847.16 = 11,466.80/x
  3. Step 3: Cross multiply
    12,244.40x = 16,847.16 × 11,466.80
  4. Step 4: Simplify right side
    12,244.40x = 193,183,014.29
  5. Step 5: Solve for x
    x = 193,183,014.29/12,244.40
  6. Step 6: Final answer
    x = 15,777.25

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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.