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Finding the Fourth Proportional to 20,035.96, 30,041.94 and 9,508.60

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Solution

The fourth proportional to 20,035.96, 30,041.94 and 9,508.60 is: 14,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.96 : 30,041.94 = 9,508.60 : x
  2. Step 2: Convert to fraction form
    20,035.96/30,041.94 = 9,508.60/x
  3. Step 3: Cross multiply
    20,035.96x = 30,041.94 × 9,508.60
  4. Step 4: Simplify right side
    20,035.96x = 285,656,790.68
  5. Step 5: Solve for x
    x = 285,656,790.68/20,035.96
  6. Step 6: Final answer
    x = 14,257.21

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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.