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Finding the Fourth Proportional to 16,963.31, 23,409.38 and 9,511.31

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Solution

The fourth proportional to 16,963.31, 23,409.38 and 9,511.31 is: 13,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.31 : 23,409.38 = 9,511.31 : x
  2. Step 2: Convert to fraction form
    16,963.31/23,409.38 = 9,511.31/x
  3. Step 3: Cross multiply
    16,963.31x = 23,409.38 × 9,511.31
  4. Step 4: Simplify right side
    16,963.31x = 222,653,952.39
  5. Step 5: Solve for x
    x = 222,653,952.39/16,963.31
  6. Step 6: Final answer
    x = 13,125.62

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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.