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Finding the Fourth Proportional to 22,674.96, 33,977.82 and 9,520.18

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Solution

The fourth proportional to 22,674.96, 33,977.82 and 9,520.18 is: 14,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.96 : 33,977.82 = 9,520.18 : x
  2. Step 2: Convert to fraction form
    22,674.96/33,977.82 = 9,520.18/x
  3. Step 3: Cross multiply
    22,674.96x = 33,977.82 × 9,520.18
  4. Step 4: Simplify right side
    22,674.96x = 323,474,962.41
  5. Step 5: Solve for x
    x = 323,474,962.41/22,674.96
  6. Step 6: Final answer
    x = 14,265.73

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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.