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Finding the Fourth Proportional to 21,874.14, 32,783.67 and 9,379.49

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Solution

The fourth proportional to 21,874.14, 32,783.67 and 9,379.49 is: 14,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.14 : 32,783.67 = 9,379.49 : x
  2. Step 2: Convert to fraction form
    21,874.14/32,783.67 = 9,379.49/x
  3. Step 3: Cross multiply
    21,874.14x = 32,783.67 × 9,379.49
  4. Step 4: Simplify right side
    21,874.14x = 307,493,941.01
  5. Step 5: Solve for x
    x = 307,493,941.01/21,874.14
  6. Step 6: Final answer
    x = 14,057.42

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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.