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Finding the Fourth Proportional to 20,262.75, 30,397.34 and 8,576.07

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Solution

The fourth proportional to 20,262.75, 30,397.34 and 8,576.07 is: 12,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.75 : 30,397.34 = 8,576.07 : x
  2. Step 2: Convert to fraction form
    20,262.75/30,397.34 = 8,576.07/x
  3. Step 3: Cross multiply
    20,262.75x = 30,397.34 × 8,576.07
  4. Step 4: Simplify right side
    20,262.75x = 260,689,715.65
  5. Step 5: Solve for x
    x = 260,689,715.65/20,262.75
  6. Step 6: Final answer
    x = 12,865.47

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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.