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Finding the Fourth Proportional to 29,546.57, 40,772.84 and 16,799.40

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Solution

The fourth proportional to 29,546.57, 40,772.84 and 16,799.40 is: 23,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.57 : 40,772.84 = 16,799.40 : x
  2. Step 2: Convert to fraction form
    29,546.57/40,772.84 = 16,799.40/x
  3. Step 3: Cross multiply
    29,546.57x = 40,772.84 × 16,799.40
  4. Step 4: Simplify right side
    29,546.57x = 684,959,164.30
  5. Step 5: Solve for x
    x = 684,959,164.30/29,546.57
  6. Step 6: Final answer
    x = 23,182.36

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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.