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Finding the Fourth Proportional to 20,654.48, 30,983.96 and 6,611.19

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Solution

The fourth proportional to 20,654.48, 30,983.96 and 6,611.19 is: 9,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.48 : 30,983.96 = 6,611.19 : x
  2. Step 2: Convert to fraction form
    20,654.48/30,983.96 = 6,611.19/x
  3. Step 3: Cross multiply
    20,654.48x = 30,983.96 × 6,611.19
  4. Step 4: Simplify right side
    20,654.48x = 204,840,813.46
  5. Step 5: Solve for x
    x = 204,840,813.46/20,654.48
  6. Step 6: Final answer
    x = 9,917.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.