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Finding the Fourth Proportional to 20,135.17, 30,204.86 and 6,809.73

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Solution

The fourth proportional to 20,135.17, 30,204.86 and 6,809.73 is: 10,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.17 : 30,204.86 = 6,809.73 : x
  2. Step 2: Convert to fraction form
    20,135.17/30,204.86 = 6,809.73/x
  3. Step 3: Cross multiply
    20,135.17x = 30,204.86 × 6,809.73
  4. Step 4: Simplify right side
    20,135.17x = 205,686,941.29
  5. Step 5: Solve for x
    x = 205,686,941.29/20,135.17
  6. Step 6: Final answer
    x = 10,215.31

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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.