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Finding the Fourth Proportional to 12,096.27, 16,698.48 and 8,069.81

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Solution

The fourth proportional to 12,096.27, 16,698.48 and 8,069.81 is: 11,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.27 : 16,698.48 = 8,069.81 : x
  2. Step 2: Convert to fraction form
    12,096.27/16,698.48 = 8,069.81/x
  3. Step 3: Cross multiply
    12,096.27x = 16,698.48 × 8,069.81
  4. Step 4: Simplify right side
    12,096.27x = 134,753,477.40
  5. Step 5: Solve for x
    x = 134,753,477.40/12,096.27
  6. Step 6: Final answer
    x = 11,140.09

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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.