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Finding the Fourth Proportional to 16,439.82, 24,646.83 and 7,072.17

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Solution

The fourth proportional to 16,439.82, 24,646.83 and 7,072.17 is: 10,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.82 : 24,646.83 = 7,072.17 : x
  2. Step 2: Convert to fraction form
    16,439.82/24,646.83 = 7,072.17/x
  3. Step 3: Cross multiply
    16,439.82x = 24,646.83 × 7,072.17
  4. Step 4: Simplify right side
    16,439.82x = 174,306,571.72
  5. Step 5: Solve for x
    x = 174,306,571.72/16,439.82
  6. Step 6: Final answer
    x = 10,602.71

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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.