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Finding the Fourth Proportional to 21,527.94, 32,306.81 and 8,380.38

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Solution

The fourth proportional to 21,527.94, 32,306.81 and 8,380.38 is: 12,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.94 : 32,306.81 = 8,380.38 : x
  2. Step 2: Convert to fraction form
    21,527.94/32,306.81 = 8,380.38/x
  3. Step 3: Cross multiply
    21,527.94x = 32,306.81 × 8,380.38
  4. Step 4: Simplify right side
    21,527.94x = 270,743,344.39
  5. Step 5: Solve for x
    x = 270,743,344.39/21,527.94
  6. Step 6: Final answer
    x = 12,576.37

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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.