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Finding the Fourth Proportional to 20,047.20, 30,054.78 and 9,511.92

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Solution

The fourth proportional to 20,047.20, 30,054.78 and 9,511.92 is: 14,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.20 : 30,054.78 = 9,511.92 : x
  2. Step 2: Convert to fraction form
    20,047.20/30,054.78 = 9,511.92/x
  3. Step 3: Cross multiply
    20,047.20x = 30,054.78 × 9,511.92
  4. Step 4: Simplify right side
    20,047.20x = 285,878,662.98
  5. Step 5: Solve for x
    x = 285,878,662.98/20,047.20
  6. Step 6: Final answer
    x = 14,260.28

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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.