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Finding the Fourth Proportional to 24,243.96, 33,456 and 13,633.32

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Solution

The fourth proportional to 24,243.96, 33,456 and 13,633.32 is: 18,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.96 : 33,456 = 13,633.32 : x
  2. Step 2: Convert to fraction form
    24,243.96/33,456 = 13,633.32/x
  3. Step 3: Cross multiply
    24,243.96x = 33,456 × 13,633.32
  4. Step 4: Simplify right side
    24,243.96x = 456,116,353.92
  5. Step 5: Solve for x
    x = 456,116,353.92/24,243.96
  6. Step 6: Final answer
    x = 18,813.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.