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Finding the Fourth Proportional to 16,305.82, 24,448.73 and 6,940.50

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Solution

The fourth proportional to 16,305.82, 24,448.73 and 6,940.50 is: 10,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.82 : 24,448.73 = 6,940.50 : x
  2. Step 2: Convert to fraction form
    16,305.82/24,448.73 = 6,940.50/x
  3. Step 3: Cross multiply
    16,305.82x = 24,448.73 × 6,940.50
  4. Step 4: Simplify right side
    16,305.82x = 169,686,434.72
  5. Step 5: Solve for x
    x = 169,686,434.72/16,305.82
  6. Step 6: Final answer
    x = 10,406.50

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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.