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Finding the Fourth Proportional to 20,269.84, 30,382.32 and 13,679.68

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Solution

The fourth proportional to 20,269.84, 30,382.32 and 13,679.68 is: 20,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.84 : 30,382.32 = 13,679.68 : x
  2. Step 2: Convert to fraction form
    20,269.84/30,382.32 = 13,679.68/x
  3. Step 3: Cross multiply
    20,269.84x = 30,382.32 × 13,679.68
  4. Step 4: Simplify right side
    20,269.84x = 415,620,415.26
  5. Step 5: Solve for x
    x = 415,620,415.26/20,269.84
  6. Step 6: Final answer
    x = 20,504.38

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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.