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Finding the Fourth Proportional to 20,134.51, 30,205.04 and 6,808.79

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Solution

The fourth proportional to 20,134.51, 30,205.04 and 6,808.79 is: 10,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.51 : 30,205.04 = 6,808.79 : x
  2. Step 2: Convert to fraction form
    20,134.51/30,205.04 = 6,808.79/x
  3. Step 3: Cross multiply
    20,134.51x = 30,205.04 × 6,808.79
  4. Step 4: Simplify right side
    20,134.51x = 205,659,815.77
  5. Step 5: Solve for x
    x = 205,659,815.77/20,134.51
  6. Step 6: Final answer
    x = 10,214.30

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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.