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Finding the Fourth Proportional to 16,254.80, 24,382.14 and 3,942.80

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Solution

The fourth proportional to 16,254.80, 24,382.14 and 3,942.80 is: 5,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.80 : 24,382.14 = 3,942.80 : x
  2. Step 2: Convert to fraction form
    16,254.80/24,382.14 = 3,942.80/x
  3. Step 3: Cross multiply
    16,254.80x = 24,382.14 × 3,942.80
  4. Step 4: Simplify right side
    16,254.80x = 96,133,901.59
  5. Step 5: Solve for x
    x = 96,133,901.59/16,254.80
  6. Step 6: Final answer
    x = 5,914.19

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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.