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Finding the Fourth Proportional to 21,723.60, 32,596.20 and 8,576.40

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Solution

The fourth proportional to 21,723.60, 32,596.20 and 8,576.40 is: 12,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723.60 : 32,596.20 = 8,576.40 : x
  2. Step 2: Convert to fraction form
    21,723.60/32,596.20 = 8,576.40/x
  3. Step 3: Cross multiply
    21,723.60x = 32,596.20 × 8,576.40
  4. Step 4: Simplify right side
    21,723.60x = 279,558,049.68
  5. Step 5: Solve for x
    x = 279,558,049.68/21,723.60
  6. Step 6: Final answer
    x = 12,868.86

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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.