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Finding the Fourth Proportional to 32,015.24, 44,182.98 and 17,869

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Solution

The fourth proportional to 32,015.24, 44,182.98 and 17,869 is: 24,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.24 : 44,182.98 = 17,869 : x
  2. Step 2: Convert to fraction form
    32,015.24/44,182.98 = 17,869/x
  3. Step 3: Cross multiply
    32,015.24x = 44,182.98 × 17,869
  4. Step 4: Simplify right side
    32,015.24x = 789,505,669.62
  5. Step 5: Solve for x
    x = 789,505,669.62/32,015.24
  6. Step 6: Final answer
    x = 24,660.31

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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.