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Finding the Fourth Proportional to 23,100.81, 31,879.11 and 13,029.23

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Solution

The fourth proportional to 23,100.81, 31,879.11 and 13,029.23 is: 17,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.81 : 31,879.11 = 13,029.23 : x
  2. Step 2: Convert to fraction form
    23,100.81/31,879.11 = 13,029.23/x
  3. Step 3: Cross multiply
    23,100.81x = 31,879.11 × 13,029.23
  4. Step 4: Simplify right side
    23,100.81x = 415,360,111.54
  5. Step 5: Solve for x
    x = 415,360,111.54/23,100.81
  6. Step 6: Final answer
    x = 17,980.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.