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Finding the Fourth Proportional to 20,309.47, 30,467.09 and 6,270.65

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Solution

The fourth proportional to 20,309.47, 30,467.09 and 6,270.65 is: 9,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.47 : 30,467.09 = 6,270.65 : x
  2. Step 2: Convert to fraction form
    20,309.47/30,467.09 = 6,270.65/x
  3. Step 3: Cross multiply
    20,309.47x = 30,467.09 × 6,270.65
  4. Step 4: Simplify right side
    20,309.47x = 191,048,400.23
  5. Step 5: Solve for x
    x = 191,048,400.23/20,309.47
  6. Step 6: Final answer
    x = 9,406.86

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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.