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Finding the Fourth Proportional to 12,071.97, 16,661.30 and 6,768.09

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Solution

The fourth proportional to 12,071.97, 16,661.30 and 6,768.09 is: 9,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.97 : 16,661.30 = 6,768.09 : x
  2. Step 2: Convert to fraction form
    12,071.97/16,661.30 = 6,768.09/x
  3. Step 3: Cross multiply
    12,071.97x = 16,661.30 × 6,768.09
  4. Step 4: Simplify right side
    12,071.97x = 112,765,144.08
  5. Step 5: Solve for x
    x = 112,765,144.08/12,071.97
  6. Step 6: Final answer
    x = 9,341.07

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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.