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Finding the Fourth Proportional to 13,163.52, 18,180.74 and 9,594.39

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Solution

The fourth proportional to 13,163.52, 18,180.74 and 9,594.39 is: 13,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.52 : 18,180.74 = 9,594.39 : x
  2. Step 2: Convert to fraction form
    13,163.52/18,180.74 = 9,594.39/x
  3. Step 3: Cross multiply
    13,163.52x = 18,180.74 × 9,594.39
  4. Step 4: Simplify right side
    13,163.52x = 174,433,062.08
  5. Step 5: Solve for x
    x = 174,433,062.08/13,163.52
  6. Step 6: Final answer
    x = 13,251.25

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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.