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Finding the Fourth Proportional to 12,236.40, 16,885.08 and 8,463.60

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Solution

The fourth proportional to 12,236.40, 16,885.08 and 8,463.60 is: 11,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.40 : 16,885.08 = 8,463.60 : x
  2. Step 2: Convert to fraction form
    12,236.40/16,885.08 = 8,463.60/x
  3. Step 3: Cross multiply
    12,236.40x = 16,885.08 × 8,463.60
  4. Step 4: Simplify right side
    12,236.40x = 142,908,563.09
  5. Step 5: Solve for x
    x = 142,908,563.09/12,236.40
  6. Step 6: Final answer
    x = 11,678.97

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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.