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Finding the Fourth Proportional to 20,042.08, 30,047.09 and 9,506.80

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Solution

The fourth proportional to 20,042.08, 30,047.09 and 9,506.80 is: 14,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.08 : 30,047.09 = 9,506.80 : x
  2. Step 2: Convert to fraction form
    20,042.08/30,047.09 = 9,506.80/x
  3. Step 3: Cross multiply
    20,042.08x = 30,047.09 × 9,506.80
  4. Step 4: Simplify right side
    20,042.08x = 285,651,524.98
  5. Step 5: Solve for x
    x = 285,651,524.98/20,042.08
  6. Step 6: Final answer
    x = 14,252.59

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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.