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Finding the Fourth Proportional to 29,851.58, 41,194.31 and 16,239.20

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Solution

The fourth proportional to 29,851.58, 41,194.31 and 16,239.20 is: 22,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851.58 : 41,194.31 = 16,239.20 : x
  2. Step 2: Convert to fraction form
    29,851.58/41,194.31 = 16,239.20/x
  3. Step 3: Cross multiply
    29,851.58x = 41,194.31 × 16,239.20
  4. Step 4: Simplify right side
    29,851.58x = 668,962,351.78
  5. Step 5: Solve for x
    x = 668,962,351.78/29,851.58
  6. Step 6: Final answer
    x = 22,409.62

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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.