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Finding the Fourth Proportional to 13,653.43, 18,838.38 and 8,346.31

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Solution

The fourth proportional to 13,653.43, 18,838.38 and 8,346.31 is: 11,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.43 : 18,838.38 = 8,346.31 : x
  2. Step 2: Convert to fraction form
    13,653.43/18,838.38 = 8,346.31/x
  3. Step 3: Cross multiply
    13,653.43x = 18,838.38 × 8,346.31
  4. Step 4: Simplify right side
    13,653.43x = 157,230,959.38
  5. Step 5: Solve for x
    x = 157,230,959.38/13,653.43
  6. Step 6: Final answer
    x = 11,515.86

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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.