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Finding the Fourth Proportional to 20,254.98, 30,385.72 and 9,161.22

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Solution

The fourth proportional to 20,254.98, 30,385.72 and 9,161.22 is: 13,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.98 : 30,385.72 = 9,161.22 : x
  2. Step 2: Convert to fraction form
    20,254.98/30,385.72 = 9,161.22/x
  3. Step 3: Cross multiply
    20,254.98x = 30,385.72 × 9,161.22
  4. Step 4: Simplify right side
    20,254.98x = 278,370,265.78
  5. Step 5: Solve for x
    x = 278,370,265.78/20,254.98
  6. Step 6: Final answer
    x = 13,743.30

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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.