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Finding the Fourth Proportional to 20,809.54, 31,216.44 and 6,769

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Solution

The fourth proportional to 20,809.54, 31,216.44 and 6,769 is: 10,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.54 : 31,216.44 = 6,769 : x
  2. Step 2: Convert to fraction form
    20,809.54/31,216.44 = 6,769/x
  3. Step 3: Cross multiply
    20,809.54x = 31,216.44 × 6,769
  4. Step 4: Simplify right side
    20,809.54x = 211,304,082.36
  5. Step 5: Solve for x
    x = 211,304,082.36/20,809.54
  6. Step 6: Final answer
    x = 10,154.19

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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.