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Finding the Fourth Proportional to 13,194.38, 18,208.31 and 9,840.17

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Solution

The fourth proportional to 13,194.38, 18,208.31 and 9,840.17 is: 13,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.38 : 18,208.31 = 9,840.17 : x
  2. Step 2: Convert to fraction form
    13,194.38/18,208.31 = 9,840.17/x
  3. Step 3: Cross multiply
    13,194.38x = 18,208.31 × 9,840.17
  4. Step 4: Simplify right side
    13,194.38x = 179,172,725.57
  5. Step 5: Solve for x
    x = 179,172,725.57/13,194.38
  6. Step 6: Final answer
    x = 13,579.48

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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.