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Finding the Fourth Proportional to 20,809.19, 31,213.05 and 6,769.13

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Solution

The fourth proportional to 20,809.19, 31,213.05 and 6,769.13 is: 10,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.19 : 31,213.05 = 6,769.13 : x
  2. Step 2: Convert to fraction form
    20,809.19/31,213.05 = 6,769.13/x
  3. Step 3: Cross multiply
    20,809.19x = 31,213.05 × 6,769.13
  4. Step 4: Simplify right side
    20,809.19x = 211,285,011.70
  5. Step 5: Solve for x
    x = 211,285,011.70/20,809.19
  6. Step 6: Final answer
    x = 10,153.45

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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.