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Finding the Fourth Proportional to 29,708.40, 40,998.11 and 16,278.80

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Solution

The fourth proportional to 29,708.40, 40,998.11 and 16,278.80 is: 22,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708.40 : 40,998.11 = 16,278.80 : x
  2. Step 2: Convert to fraction form
    29,708.40/40,998.11 = 16,278.80/x
  3. Step 3: Cross multiply
    29,708.40x = 40,998.11 × 16,278.80
  4. Step 4: Simplify right side
    29,708.40x = 667,399,873.44
  5. Step 5: Solve for x
    x = 667,399,873.44/29,708.40
  6. Step 6: Final answer
    x = 22,465.02

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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.