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Finding the Fourth Proportional to 20,300.80, 30,431.04 and 9,768.64

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Solution

The fourth proportional to 20,300.80, 30,431.04 and 9,768.64 is: 14,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300.80 : 30,431.04 = 9,768.64 : x
  2. Step 2: Convert to fraction form
    20,300.80/30,431.04 = 9,768.64/x
  3. Step 3: Cross multiply
    20,300.80x = 30,431.04 × 9,768.64
  4. Step 4: Simplify right side
    20,300.80x = 297,269,874.59
  5. Step 5: Solve for x
    x = 297,269,874.59/20,300.80
  6. Step 6: Final answer
    x = 14,643.26

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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.