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Finding the Fourth Proportional to 23,243.67, 32,076.51 and 13,171.92

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Solution

The fourth proportional to 23,243.67, 32,076.51 and 13,171.92 is: 18,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,243.67 : 32,076.51 = 13,171.92 : x
  2. Step 2: Convert to fraction form
    23,243.67/32,076.51 = 13,171.92/x
  3. Step 3: Cross multiply
    23,243.67x = 32,076.51 × 13,171.92
  4. Step 4: Simplify right side
    23,243.67x = 422,509,223.60
  5. Step 5: Solve for x
    x = 422,509,223.60/23,243.67
  6. Step 6: Final answer
    x = 18,177.39

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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.