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Finding the Fourth Proportional to 12,101.16, 16,696.62 and 7,383.72

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Solution

The fourth proportional to 12,101.16, 16,696.62 and 7,383.72 is: 10,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.16 : 16,696.62 = 7,383.72 : x
  2. Step 2: Convert to fraction form
    12,101.16/16,696.62 = 7,383.72/x
  3. Step 3: Cross multiply
    12,101.16x = 16,696.62 × 7,383.72
  4. Step 4: Simplify right side
    12,101.16x = 123,283,167.03
  5. Step 5: Solve for x
    x = 123,283,167.03/12,101.16
  6. Step 6: Final answer
    x = 10,187.71

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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.