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Finding the Fourth Proportional to 29,799.78, 41,124.46 and 16,878

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Solution

The fourth proportional to 29,799.78, 41,124.46 and 16,878 is: 23,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,799.78 : 41,124.46 = 16,878 : x
  2. Step 2: Convert to fraction form
    29,799.78/41,124.46 = 16,878/x
  3. Step 3: Cross multiply
    29,799.78x = 41,124.46 × 16,878
  4. Step 4: Simplify right side
    29,799.78x = 694,098,635.88
  5. Step 5: Solve for x
    x = 694,098,635.88/29,799.78
  6. Step 6: Final answer
    x = 23,292.07

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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.