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Finding the Fourth Proportional to 23,091.81, 31,866.69 and 12,481.44

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Solution

The fourth proportional to 23,091.81, 31,866.69 and 12,481.44 is: 17,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.81 : 31,866.69 = 12,481.44 : x
  2. Step 2: Convert to fraction form
    23,091.81/31,866.69 = 12,481.44/x
  3. Step 3: Cross multiply
    23,091.81x = 31,866.69 × 12,481.44
  4. Step 4: Simplify right side
    23,091.81x = 397,742,179.23
  5. Step 5: Solve for x
    x = 397,742,179.23/23,091.81
  6. Step 6: Final answer
    x = 17,224.38

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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.