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Finding the Fourth Proportional to 20,057.76, 30,086.70 and 6,909.96

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Solution

The fourth proportional to 20,057.76, 30,086.70 and 6,909.96 is: 10,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.76 : 30,086.70 = 6,909.96 : x
  2. Step 2: Convert to fraction form
    20,057.76/30,086.70 = 6,909.96/x
  3. Step 3: Cross multiply
    20,057.76x = 30,086.70 × 6,909.96
  4. Step 4: Simplify right side
    20,057.76x = 207,897,893.53
  5. Step 5: Solve for x
    x = 207,897,893.53/20,057.76
  6. Step 6: Final answer
    x = 10,364.96

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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.