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Finding the Fourth Proportional to 20,509.46, 30,769.70 and 6,470.03

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Solution

The fourth proportional to 20,509.46, 30,769.70 and 6,470.03 is: 9,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.46 : 30,769.70 = 6,470.03 : x
  2. Step 2: Convert to fraction form
    20,509.46/30,769.70 = 6,470.03/x
  3. Step 3: Cross multiply
    20,509.46x = 30,769.70 × 6,470.03
  4. Step 4: Simplify right side
    20,509.46x = 199,080,882.09
  5. Step 5: Solve for x
    x = 199,080,882.09/20,509.46
  6. Step 6: Final answer
    x = 9,706.78

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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.