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Finding the Fourth Proportional to 16,687.14, 23,034 and 9,616.38

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Solution

The fourth proportional to 16,687.14, 23,034 and 9,616.38 is: 13,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,687.14 : 23,034 = 9,616.38 : x
  2. Step 2: Convert to fraction form
    16,687.14/23,034 = 9,616.38/x
  3. Step 3: Cross multiply
    16,687.14x = 23,034 × 9,616.38
  4. Step 4: Simplify right side
    16,687.14x = 221,503,696.92
  5. Step 5: Solve for x
    x = 221,503,696.92/16,687.14
  6. Step 6: Final answer
    x = 13,273.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.