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Finding the Fourth Proportional to 12,121.29, 18,178.29 and 7,961.13

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Solution

The fourth proportional to 12,121.29, 18,178.29 and 7,961.13 is: 11,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.29 : 18,178.29 = 7,961.13 : x
  2. Step 2: Convert to fraction form
    12,121.29/18,178.29 = 7,961.13/x
  3. Step 3: Cross multiply
    12,121.29x = 18,178.29 × 7,961.13
  4. Step 4: Simplify right side
    12,121.29x = 144,719,729.87
  5. Step 5: Solve for x
    x = 144,719,729.87/12,121.29
  6. Step 6: Final answer
    x = 11,939.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.