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Finding the Fourth Proportional to 13,286.92, 18,323.46 and 9,937.48

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Solution

The fourth proportional to 13,286.92, 18,323.46 and 9,937.48 is: 13,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.92 : 18,323.46 = 9,937.48 : x
  2. Step 2: Convert to fraction form
    13,286.92/18,323.46 = 9,937.48/x
  3. Step 3: Cross multiply
    13,286.92x = 18,323.46 × 9,937.48
  4. Step 4: Simplify right side
    13,286.92x = 182,089,017.28
  5. Step 5: Solve for x
    x = 182,089,017.28/13,286.92
  6. Step 6: Final answer
    x = 13,704.38

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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.