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Finding the Fourth Proportional to 16,696.04, 23,040.80 and 9,142.24

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Solution

The fourth proportional to 16,696.04, 23,040.80 and 9,142.24 is: 12,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.04 : 23,040.80 = 9,142.24 : x
  2. Step 2: Convert to fraction form
    16,696.04/23,040.80 = 9,142.24/x
  3. Step 3: Cross multiply
    16,696.04x = 23,040.80 × 9,142.24
  4. Step 4: Simplify right side
    16,696.04x = 210,644,523.39
  5. Step 5: Solve for x
    x = 210,644,523.39/16,696.04
  6. Step 6: Final answer
    x = 12,616.44

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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.