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Finding the Fourth Proportional to 13,321.46, 18,383.36 and 7,353.38

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Solution

The fourth proportional to 13,321.46, 18,383.36 and 7,353.38 is: 10,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.46 : 18,383.36 = 7,353.38 : x
  2. Step 2: Convert to fraction form
    13,321.46/18,383.36 = 7,353.38/x
  3. Step 3: Cross multiply
    13,321.46x = 18,383.36 × 7,353.38
  4. Step 4: Simplify right side
    13,321.46x = 135,179,840.95
  5. Step 5: Solve for x
    x = 135,179,840.95/13,321.46
  6. Step 6: Final answer
    x = 10,147.52

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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.