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Finding the Fourth Proportional to 11,312.40, 16,954.20 and 8,230.80

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Solution

The fourth proportional to 11,312.40, 16,954.20 and 8,230.80 is: 12,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.40 : 16,954.20 = 8,230.80 : x
  2. Step 2: Convert to fraction form
    11,312.40/16,954.20 = 8,230.80/x
  3. Step 3: Cross multiply
    11,312.40x = 16,954.20 × 8,230.80
  4. Step 4: Simplify right side
    11,312.40x = 139,546,629.36
  5. Step 5: Solve for x
    x = 139,546,629.36/11,312.40
  6. Step 6: Final answer
    x = 12,335.72

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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.