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Finding the Fourth Proportional to 16,863.82, 23,273.12 and 9,696.02

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Solution

The fourth proportional to 16,863.82, 23,273.12 and 9,696.02 is: 13,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.82 : 23,273.12 = 9,696.02 : x
  2. Step 2: Convert to fraction form
    16,863.82/23,273.12 = 9,696.02/x
  3. Step 3: Cross multiply
    16,863.82x = 23,273.12 × 9,696.02
  4. Step 4: Simplify right side
    16,863.82x = 225,656,544.86
  5. Step 5: Solve for x
    x = 225,656,544.86/16,863.82
  6. Step 6: Final answer
    x = 13,381.11

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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.