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Finding the Fourth Proportional to 12,584.34, 18,872.46 and 3,816.90

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Solution

The fourth proportional to 12,584.34, 18,872.46 and 3,816.90 is: 5,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.34 : 18,872.46 = 3,816.90 : x
  2. Step 2: Convert to fraction form
    12,584.34/18,872.46 = 3,816.90/x
  3. Step 3: Cross multiply
    12,584.34x = 18,872.46 × 3,816.90
  4. Step 4: Simplify right side
    12,584.34x = 72,034,292.57
  5. Step 5: Solve for x
    x = 72,034,292.57/12,584.34
  6. Step 6: Final answer
    x = 5,724.12

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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.