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Finding the Fourth Proportional to 16,696.44, 23,040.45 and 9,142.47

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Solution

The fourth proportional to 16,696.44, 23,040.45 and 9,142.47 is: 12,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.44 : 23,040.45 = 9,142.47 : x
  2. Step 2: Convert to fraction form
    16,696.44/23,040.45 = 9,142.47/x
  3. Step 3: Cross multiply
    16,696.44x = 23,040.45 × 9,142.47
  4. Step 4: Simplify right side
    16,696.44x = 210,646,622.91
  5. Step 5: Solve for x
    x = 210,646,622.91/16,696.44
  6. Step 6: Final answer
    x = 12,616.26

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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.