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Finding the Fourth Proportional to 23,096.81, 31,871.78 and 13,022.03

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Solution

The fourth proportional to 23,096.81, 31,871.78 and 13,022.03 is: 17,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.81 : 31,871.78 = 13,022.03 : x
  2. Step 2: Convert to fraction form
    23,096.81/31,871.78 = 13,022.03/x
  3. Step 3: Cross multiply
    23,096.81x = 31,871.78 × 13,022.03
  4. Step 4: Simplify right side
    23,096.81x = 415,035,338.72
  5. Step 5: Solve for x
    x = 415,035,338.72/23,096.81
  6. Step 6: Final answer
    x = 17,969.38

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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.