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Finding the Fourth Proportional to 20,475.66, 30,706.96 and 7,992.65

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Solution

The fourth proportional to 20,475.66, 30,706.96 and 7,992.65 is: 11,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.66 : 30,706.96 = 7,992.65 : x
  2. Step 2: Convert to fraction form
    20,475.66/30,706.96 = 7,992.65/x
  3. Step 3: Cross multiply
    20,475.66x = 30,706.96 × 7,992.65
  4. Step 4: Simplify right side
    20,475.66x = 245,429,983.84
  5. Step 5: Solve for x
    x = 245,429,983.84/20,475.66
  6. Step 6: Final answer
    x = 11,986.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.