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Finding the Fourth Proportional to 16,268.46, 24,410.88 and 6,414.80

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Solution

The fourth proportional to 16,268.46, 24,410.88 and 6,414.80 is: 9,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.46 : 24,410.88 = 6,414.80 : x
  2. Step 2: Convert to fraction form
    16,268.46/24,410.88 = 6,414.80/x
  3. Step 3: Cross multiply
    16,268.46x = 24,410.88 × 6,414.80
  4. Step 4: Simplify right side
    16,268.46x = 156,590,913.02
  5. Step 5: Solve for x
    x = 156,590,913.02/16,268.46
  6. Step 6: Final answer
    x = 9,625.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.