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Finding the Fourth Proportional to 20,659.50, 30,994.11 and 6,808.50

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Solution

The fourth proportional to 20,659.50, 30,994.11 and 6,808.50 is: 10,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.50 : 30,994.11 = 6,808.50 : x
  2. Step 2: Convert to fraction form
    20,659.50/30,994.11 = 6,808.50/x
  3. Step 3: Cross multiply
    20,659.50x = 30,994.11 × 6,808.50
  4. Step 4: Simplify right side
    20,659.50x = 211,023,397.94
  5. Step 5: Solve for x
    x = 211,023,397.94/20,659.50
  6. Step 6: Final answer
    x = 10,214.35

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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.