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Finding the Fourth Proportional to 12,072.60, 16,661.75 and 6,768.51

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Solution

The fourth proportional to 12,072.60, 16,661.75 and 6,768.51 is: 9,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.60 : 16,661.75 = 6,768.51 : x
  2. Step 2: Convert to fraction form
    12,072.60/16,661.75 = 6,768.51/x
  3. Step 3: Cross multiply
    12,072.60x = 16,661.75 × 6,768.51
  4. Step 4: Simplify right side
    12,072.60x = 112,775,221.49
  5. Step 5: Solve for x
    x = 112,775,221.49/12,072.60
  6. Step 6: Final answer
    x = 9,341.42

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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.