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Finding the Fourth Proportional to 16,947.38, 23,387.32 and 9,495.38

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Solution

The fourth proportional to 16,947.38, 23,387.32 and 9,495.38 is: 13,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947.38 : 23,387.32 = 9,495.38 : x
  2. Step 2: Convert to fraction form
    16,947.38/23,387.32 = 9,495.38/x
  3. Step 3: Cross multiply
    16,947.38x = 23,387.32 × 9,495.38
  4. Step 4: Simplify right side
    16,947.38x = 222,071,490.58
  5. Step 5: Solve for x
    x = 222,071,490.58/16,947.38
  6. Step 6: Final answer
    x = 13,103.59

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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.