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Finding the Fourth Proportional to 13,162.32, 18,164.49 and 7,194.39

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Solution

The fourth proportional to 13,162.32, 18,164.49 and 7,194.39 is: 9,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.32 : 18,164.49 = 7,194.39 : x
  2. Step 2: Convert to fraction form
    13,162.32/18,164.49 = 7,194.39/x
  3. Step 3: Cross multiply
    13,162.32x = 18,164.49 × 7,194.39
  4. Step 4: Simplify right side
    13,162.32x = 130,682,425.21
  5. Step 5: Solve for x
    x = 130,682,425.21/13,162.32
  6. Step 6: Final answer
    x = 9,928.53

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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.