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Finding the Fourth Proportional to 24,571.92, 33,910.12 and 13,962

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Solution

The fourth proportional to 24,571.92, 33,910.12 and 13,962 is: 19,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.92 : 33,910.12 = 13,962 : x
  2. Step 2: Convert to fraction form
    24,571.92/33,910.12 = 13,962/x
  3. Step 3: Cross multiply
    24,571.92x = 33,910.12 × 13,962
  4. Step 4: Simplify right side
    24,571.92x = 473,453,095.44
  5. Step 5: Solve for x
    x = 473,453,095.44/24,571.92
  6. Step 6: Final answer
    x = 19,268.05

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