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Finding the Fourth Proportional to 20,262.86, 30,405.18 and 9,874.60

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Solution

The fourth proportional to 20,262.86, 30,405.18 and 9,874.60 is: 14,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.86 : 30,405.18 = 9,874.60 : x
  2. Step 2: Convert to fraction form
    20,262.86/30,405.18 = 9,874.60/x
  3. Step 3: Cross multiply
    20,262.86x = 30,405.18 × 9,874.60
  4. Step 4: Simplify right side
    20,262.86x = 300,238,990.43
  5. Step 5: Solve for x
    x = 300,238,990.43/20,262.86
  6. Step 6: Final answer
    x = 14,817.21

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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.