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Finding the Fourth Proportional to 12,285.40, 16,954.50 and 6,696.76

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Solution

The fourth proportional to 12,285.40, 16,954.50 and 6,696.76 is: 9,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.40 : 16,954.50 = 6,696.76 : x
  2. Step 2: Convert to fraction form
    12,285.40/16,954.50 = 6,696.76/x
  3. Step 3: Cross multiply
    12,285.40x = 16,954.50 × 6,696.76
  4. Step 4: Simplify right side
    12,285.40x = 113,540,217.42
  5. Step 5: Solve for x
    x = 113,540,217.42/12,285.40
  6. Step 6: Final answer
    x = 9,241.88

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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.