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Finding the Fourth Proportional to 23,100.85, 31,879.12 and 13,029.26

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Solution

The fourth proportional to 23,100.85, 31,879.12 and 13,029.26 is: 17,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.85 : 31,879.12 = 13,029.26 : x
  2. Step 2: Convert to fraction form
    23,100.85/31,879.12 = 13,029.26/x
  3. Step 3: Cross multiply
    23,100.85x = 31,879.12 × 13,029.26
  4. Step 4: Simplify right side
    23,100.85x = 415,361,230.48
  5. Step 5: Solve for x
    x = 415,361,230.48/23,100.85
  6. Step 6: Final answer
    x = 17,980.35

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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.