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Finding the Fourth Proportional to 13,376.80, 20,072.40 and 5,982.40

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Solution

The fourth proportional to 13,376.80, 20,072.40 and 5,982.40 is: 8,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.80 : 20,072.40 = 5,982.40 : x
  2. Step 2: Convert to fraction form
    13,376.80/20,072.40 = 5,982.40/x
  3. Step 3: Cross multiply
    13,376.80x = 20,072.40 × 5,982.40
  4. Step 4: Simplify right side
    13,376.80x = 120,081,125.76
  5. Step 5: Solve for x
    x = 120,081,125.76/13,376.80
  6. Step 6: Final answer
    x = 8,976.82

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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.