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Finding the Fourth Proportional to 20,035.67, 30,068.27 and 9,505.73

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Solution

The fourth proportional to 20,035.67, 30,068.27 and 9,505.73 is: 14,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.67 : 30,068.27 = 9,505.73 : x
  2. Step 2: Convert to fraction form
    20,035.67/30,068.27 = 9,505.73/x
  3. Step 3: Cross multiply
    20,035.67x = 30,068.27 × 9,505.73
  4. Step 4: Simplify right side
    20,035.67x = 285,820,658.32
  5. Step 5: Solve for x
    x = 285,820,658.32/20,035.67
  6. Step 6: Final answer
    x = 14,265.59

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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.